What is the ratio of the volume of the cone to the volume of the square pyramid?

What Is The Ratio Of The Volume Of The Cone To The Volume Of The Square Pyramid?

Answers

Answer 1

Answer:

The ratio of the volume of cone to square pyramid is π or 3.14

Step-by-step explanation:

Given

Shapes: Cone and Square Pyramid

Diameter of the cone, d = 10 inches

Height of the cone, h = 12 inches

Height of the pyramid, h = 12 inches

Base edge of the pyramid, a = 5 inches

Required:

Ratio of the volume of cone to square pyramid.

First, we calculate the volume of each shapes

Volume of a cone is calculated as follows;

Volume = ⅓πr²h

Where r = radius = ½d

Recall that d = 10 inches

So, r = ½ * 10 inches

r = 5 inches.

Hence,

Volume = ⅓ * π * 5² * 12

Volume = ⅓ * π * 25 * 12

Volunteer = π * 25 * 4

Volume = 100π in³

Calculating Volume of the pyramid.

Volume = ⅓a²h

Recall that a = 5 and h = 12

So, Volume = ⅓ * 5² * 12

Volume = ⅓ * 25 * 12

Volume = 25 * 4

Volume = 100 in³

Now that both volumes have been calculated.

The ratio of the volume of cone to square pyramid is calculated by dividing the volume of the cone by the volume of the square pyramid.

Ratio = 100π ÷ 100

Ratio = π

Taking π as 3.14

Ratio = 3.14

Hence, the ratio of the volume of cone to square pyramid is π or 3.14


Related Questions

79.99 - 12% + 8%
please dhow your work
thank you
And be safe

Answers

Answer:

79.95

Step-by-step explanation:

The first step is to rewrite the percentages into decimals so they can be added or subtracted easier. To turn a percentage into a decimal, remove the percent sign and move the decimal two spaces to the left (in other words, divide the number by 100).

12% becomes -0.12

8% becomes 0.08

Now, let's solve.

79.99 - 0.12 + 0.08

Evaluating 79.99 - 0.12, the equation becomes 79.87 + 0.08.

Evaluating 79.87 + 0.08, we get the final answer, 79.95.

79.99

12
100
+
8
100
=
79.99

3
25
+
8
100
=
79.87
+
8
100
=
79.87
+
2
25
=
79.95

To prove that △VWZ ~ △YXZ by the SAS similarity theorem, which other sides or angles should be used?

Answers

Answer:

The answer is c

Step-by-step explanation:

To prove that △VWZ ~ △YXZ by SAS theorem, we must prove that two of the sides for each triangle is congruent, and the angle inbetween the sides are congruent.

Metric countries rate the fuel efficiency of a car by the number of liters of gasoline required to drive 100 kilometers. If a car takes 9 liters per 100​ kilometers, what is its efficiency in miles per​ gallon? Use the conversions 1 gal= 3.7854 L and 1 mile = 1.6 km.
WILL MARK BRAINLIEST

Answers

10L/100km(1.6km/1Mile)(1gal/3.7854 L)=16 Gallons/378.54 Miles=
23.7 Miles/Gallon

The efficiency of the car in unit miles per gallon will be 26.28.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

Given that,

The car takes 9 liters per 100​ kilometers

9 liters ⇒ 100 km

Since 1 gal= 3.7854 L → 1 L = (1/3.7854) gal

9 L = (9/3.7854) gal

1 mile = 1.6 km → 1 km = (1/1.6) miles

100 km = (100/1.6) miles

So, (9/3.7854) gal ⇒ (100/1.6) miles

Efficiency = (100/1.6) ÷ (9/3.7854)

Efficiency = 26.28 miles/gal

Hence "The efficiency of the car in unit miles per gallon will be 26.28".

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Tiffany made 1 gallon of tea.

1 gallon is 4 quarts, and 1 quart is 2 pints. Which choice equals 1 gallon?
A) 6 cups
B) 6 pints
C) 8 cups
D) 8 pints

Answers

D.
If 2 pints = 1 quart, you just have to multiply 4 and 4 to get what 1 gallon would be

1 gallon of tea is equal to 8 pints. Therefore, option D is the correct answer.

What is Metric System?

Everything around us has a measurement value, from the amount of sugar you put in a cake to the size of a football field. Each thing is measured differently based on its length, weight, volume, or duration. With these measurements, the idea of "Metric System" is introduced.

Given that, 1 gallon is 4 quarts, and 1 quart is 2 pints.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Here, 1 gallon = 4 quarts

1 quarts = 2 pints

1 gallon = 4×2

= 8 pints

Therefore, option D is the correct answer.

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Simplify
12x^9
————
2x^3
o 6х3
o 6х6
o10х3
o10х6

Answers

Answer:

6 * x^6

Step-by-step explanation:

We have  (12x^9) / (2x^3)

(12x^9) / (2x^3)  =  6 * (x^9/x^3)    Divide the constants first

(12x^9) / (2x^3)  = 6 * x^ (9-3)

(12x^9) / (2x^3)  = 6 * x^6

A side length of a regular hexagon is 14 inches. What is the perimeter of the hexagon?

Answers

Answer:

84 inches

Step-by-step explanation:

A regular hexagon has 6 sides where all 6 sides are congruent meaning that each side is 14 inches.

Hence:

14*6=84

In Conclusion:

The perimeter of the hexagon is 84 inches.

Hope this helps!

Answer:

84

Step-by-step explanation:

14+14+14+14+14+14=84

A hexagon has 6 equal sides and you add all of the sides to find perimeter.

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Considerations:

[tex]$y=-(x) \left \{ {{\text{if } x<0\text{ then }y>0} \atop {{\text{if } x> 0\text{ then }y<0}} \right. $[/tex]

[tex]$y=x\left \{ {{\text{if } x<0\text{ then }y<0} \atop {{\text{if } x> 0\text{ then }y>0}} \right. $[/tex]

Also,

[tex]$-\frac{a}{b}=\frac{-a}{b}=\frac{a}{-b}, b\neq0 $[/tex]

A positive number divided by a positive number results in a positive quotient, and its opposite is always negative.

The fraction [tex]$\frac{5}{-12} $[/tex]  can be described as a positive number divided by a negative number, which always result in a negative quotient.

The fractions have same value, so Liam is correct.

Pls take a look at the picture! It should be easy if you know radicals.

Answers

Answer:

The answer is 2√15 .

Step-by-step explanation:

Using Indices Law :

[tex] \sqrt{a} \times \sqrt{b} = \sqrt{ab} [/tex]

[tex] \sqrt{ - 6} \times \sqrt{ - 10} [/tex]

[tex] = \sqrt{ - 6 \times - 10} [/tex]

[tex] = \sqrt{60} [/tex]

Next, you have to find the common factors of 60 :

60 = 1×60

60 = 2×30

60 = 3×20

60 = 4×15

60 = 5×12

60 = 6×10

In order to simplify, we have to choose a perfect square from the factors above. In the factors above, 4 is a perfect square so that we can square root it :

[tex] \sqrt{60} [/tex]

[tex] = \sqrt{4 \times 15} [/tex]

[tex] = \sqrt{4} \times \sqrt{15} [/tex]

[tex] = 2 \times \sqrt{15} [/tex]

[tex] = 2 \sqrt{15} [/tex]

help me answer this question

Answers

Answer:

a

Step-by-step explanation:

Answer: -8/5

Step-by-step explanation:

Express 8^1/2 in simplest radical form.

Answers

Final answer:

To express [tex]8^{1/2[/tex]in simplest radical form, recognize that it's equivalent to the square root of 8, then simplify to 2√2 by breaking down 8 into prime factors and finding pairs of factors.

Explanation:

To express [tex]8^{1/2[/tex] in simplest radical form, we follow these steps:

Recognize that an exponent of 1/2 is equivalent to the square root.

Find the square root of 8, which can also be written as √8.

Since 8 is not a perfect square, we can simplify it by breaking it down into its prime factors: 8 = 2 x 2 x 2.

Group the factors into pairs to determine the square root: 8 has one pair of 2s.

This pair comes out of the radical as a single 2, leaving one 2 inside the radical: 2√2.

Therefore, 8^1/2 simplifies to 2√2, which is the simplest radical form.

What is the area of a circle with a radius of 6 inches? 9 pi inches squared 12 pi inches squared 36 pi inches squared 81 pi inches squared

Answers

Answer:

36π

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

BECAUSE U MULTIPLY THEN DIVIDE

In the right triangle shown, what is the value of x (to the nearest tenth)? (Picture shown above)



a. 9.1
b. 11.0
c. 21.4
d. 23.7

Answers

Answer:

i think it is c. good luck!!

Step-by-step explanation:

The value of x is 11.037

The correct option is (B)

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

Using Trigonometry,

cos 25 = B/ H

cos 25 = 10 / x

0.906 = 10/ x

x= 10/ 0.906

x= 11.037

Hence, the value of x is 11.037.

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What is the inverse of function f?
f(x) = 10/9x+11

Answers

Answer:

hope this helps!

Step-by-step explanation:

The inverse function of the given function will be f(x)⁻¹ = ( 10 ) / ( 9x - 99).

What is an inverse function?

A function is defined as the expression that set up the relationship between the dependent variable and the independent variable. In an inverse function, the value of two variables x and y are interchanged, and then the value of y is given an inverse function.

Given function is f(x) = ( 10/9x) + 11. the inverse function will be calculated as below:-

y = 10/9x+11

x = ( 10 / 9y ) + 11

x - 11 = ( 10 / 9y )

9y / 10 = ( 1 / ( x - 11 )

9y = 10 / ( x - 11 )

y = ( 10 ) / ( 9x - 99 )

Therefore, the inverse function of the given function will be f(x)⁻¹ = ( 10 ) / ( 9x - 99).

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Plisss help me is a emergency​

Answers

Which question are you pointing out?

Answer:

no: 5-4+7x+1 = 7x+1

one: 5-4+7x+1 = 6x+2

infinitely many: 5-4+7x+1 = 7x+2

What do the interior angles in a
triangle have a sum of?
A.360
B.45
C.180
D.90
HELP PLZZ

Answers

Answer:

180 degrees.

Step-by-step explanation:

The interior angles in a triangle have a sum of 180 degrees. You can also prove it by the Sum of Interior Angles formula:

S= (n-2)·180.

n- the number of sides in the polygon

S= the total sum of interior angles.

Answer:

The sum of three interior angles always have to have the sum of 180 degrees. So with that being said, each of the angles have to be less than 180 degrees.

Brainliest is appreciated.

Step-by-step explanation:

Define the Negative Exponent Property

Answers

Answer:

Dividing is the inverse (opposite) of Multiplying.

A negative exponent means how many times to divide by the number.

Answer:

There is a power property for negative exponent powers which says that a power with a negative exponent is equal to 1 between the same power, but with a positive exponent. In other words, to convert the exponent from negative to positive, the power is converted to the denominator

Step-by-step explanation:

The figure below is a net for a rectangular prism.
lb
Side a = 7 centimeters
Side b = 2 centimeters
Side c = 5 centimeters
What is the surface area of this figure?​

Answers

Answer: which side is the length and which side is the height?

1/3 of the difference of 20 and 2

Answers

Answer:

the correct answer is 6

Step-by-step explanation:

hope it helps !

Final answer:

To find 1/3 of the difference of 20 and 2, subtract 2 from 20 to get the difference, then divide the difference by 3.

Explanation:

To determine one-third of the difference between 20 and 2, we first find the difference itself, which is 20 - 2 = 18. Then, recognizing that one-third represents dividing by 3, we divide the difference, 18, by 3, resulting in 18 ÷ 3 = 6. This mathematical process illustrates the sequential steps taken to solve the problem. The method involves subtraction to identify the difference and subsequent division by 3 to find the desired fraction. This systematic approach ensures clarity in understanding the solution. Hence, one-third of the difference between 20 and 2 equals 6, demonstrating the application of basic arithmetic concepts in solving real-world problems and enhancing mathematical reasoning skills.

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Molly made a scaled copy of the following square. She used a scale factor greater than 111.What could be the side length of the scaled copy of the square?

Answers

Answer:

2 answers 27 and 50 units

Step-by-step explanation:

Simplify the expression:
-5a – 6a + -9a

Answers

Answer:

-20a

Step-by-step explanation:

-5a-6a+-9a

-11a+-9a

-20a

A bag contains 26 red marbles, 8 white marbles, and 5 gray marbles. You randomly pick out a marble, record its color, and put it back in the bag. You repeat this process 117 times. How many white or gray marbles do you expect to get?

Answers

Answer:

39

Step-by-step explanation:

13. In a week the prices of a bag of rice were 350,280,340,290,320, 310,300. The range is
A. 60
B. 70
C. 80
D. 100

Answers

so the right answer is 70.

Look at the attached picture

Hope it will help u

Answer:

B

Step-by-step explanation:

The range can be found by subtracting the lowest number from the highest number

First, arrange the numbers in order from least to greatest

350,280,340,290,320, 310,300

280, 290, 300, 310, 320, 340, 350

So, our lowest number is 280, and our highest is 350.

highest number - lowest number

Subtract 280 from 350

350-280

70

So, our range is 70, making B the correct answer

Joseph is ordering a taxi from an online taxi service. The taxi charges $4 just for the
pickup and then an additional $1 per mile driven. How much would a taxi ride code if
Joseph is riding for 9 miles? How much would a taxi ride cost that is m miles long?

Answers

Answer: $13 for the 9 mile ride.

The taxi ride that is m miles long would cost as follows: 4 + m

Step-by-step explanation:

Final answer:

The cost of Joseph's taxi ride is calculated by adding a flat fee of $4 to $1 for each mile driven. Thus, a 9-mile ride would cost $13. For a ride of m miles, the cost would be $4 plus $1 per mile.

Explanation:

The cost of a taxi ride can be determined using a function that considers two components: a flat fee, and a rate per mile. In Joseph's case, the online tax service charges a $4 flat fee for pickup, and $1 per each mile driven. Hence, the equation for the cost of a taxi ride (C) for Joseph is as follows: C= 4+1*m.

For a ride of 9 miles, we would substitute m with 9: C = 4+ 1*9, which simplifies to C = $13. Therefore, a 9-mile ride would cost $13.

For a taxi ride that is m miles long, the cost would be C = 4 + 1*m. The 4 represents the flat fee, and the 1*m represents the cost per mile that is driven multiplied by the number of miles in the ride. Therefore, a taxi ride that is m miles long would cost $4 plus $1 per mile.

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there’s also D

D: 4m on top and 4m on the side

Answers

Answer:

A and B.

Step-by-step explanation:

To find the area, you need to multiply the length and width.

A = L x W

5 x 4 = 20

10 x 2 = 20

helpppppp! thank youuu

Answers

Answer:

three B

Step-by-step explanation:

simple addition

Use the divisibility tests to determine whether 900 is divisible by 2, 3, 5, 6, and 10

Answers

Answer:3

Step-by-step explanation:

How long would it take a bus traveling at 52 km/h to travel 130 km ??

Answers

Answer: 2.5 hours

Step-by-step explanation:

130 / 52 = 2.5

A bus will take "2.5 hours" to travel.

Given that:

Speed of bus (s),

= 52 km/h

Distance (d),

= 130 km

As we know,

→ [tex]Speed = \frac{Distance}{Time}[/tex]

or,

→ [tex]Time = \frac{Distance }{Speed}[/tex]

By substituting the values, we get

            [tex]=\frac{130}{52}[/tex]

            [tex]=2.5 \ hours[/tex]

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two line are ___ if and only if they lie in the same plane and do not intersect, and two lines are __ if and only if they lie in the same plane and intersect at the right angles


A) partaken, perpendicular
B) perpendicular, bisectors
C) parallel, bisectors
D) perpendicular, parallel

Answers

the answer is C, I think because parallel lines never touch

The required answer is two lines are parallel if and only if they lie in the same plane and do not intersect, and two lines are perpendicular if and only if they lie in the same plane and intersect at the right angles. Option   A is correct.

Given that,
An incomplete statement is given,
We have to complete the statement using the appropriate options that thinks fit to black space.

What is a line?

The line is a curve showing the shortest distance between 2 points.

Here,
Two lines are ___ if and only if they lie in the same plane and do not intersect.
The above statement is the definition of parallel lines, so the complete statement is,
Two lines are parallel if and only if they lie in the same plane and do not intersect.,

Two lines are __ if and only if they lie in the same plane and intersect at the right angles

The above statement is the definition of perpendicular,
So the complete statement is,
Two lines are perpendicular if and only if they lie in the same plane and intersect at the right angles.

Thus, the required correct option is option A, Parallel and perpendicular.

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PLEASEEEEEE HELPPPP!!!!

Answers

I believe this would be correct.
This would be about correct!

A square mirror has an area of 25 square feet. How long is each edge of the mirror?

Answers

Answer:

5 feet

Step-by-step explanation:

5x5

thanks jimtompson5910 for helping me fix my mistake

Answer:  5 feet

Some number times itself is 25. The question is: which number?

That would be 5 since 5 times 5 = 25

You can also apply the square root to 25 to get 5, to avoid guessing and checking.

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A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 125 people living in Gastown and finds that 25 have an annual income that is below the poverty line.Part i) The proportion of the 125 people who are living below the poverty line, 25/125, is which of the following:________.A. variable of interest.B. parameter.C. statistic.Part ii) Use the sample data to compute a 95% confidence interval for the true proportion of Gastown residents living below the poverty line.(Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places).95% confidence interval = ( ___ , ___ ) 2. Egyptians had a great influence on the Greek sculptors of the _______period. If the number of bacteria in a colony doubles every 85 hours and there is currently apopulation of 500 bacteria, what will the population be 170 hours from now?bacteria What is the volume of a cone with a radius of 4 centimeters and a height of 10 centimeters? Cone V = 1 3 Bh 1. Rewrite the formula for the base area: V = 1 3 r2h 2. Substitute the values into the formula: V = 1 3 (42)(10) 3. Evaluate the power: V = 1 3 (16)(10) 4. Simplify to find the volume of the cone to be Pi centimeters cubed. One way the United States prepared for fighting World War 2 was..... Savannah drove 716 miles on Monday. She drove another 572 miles on Tuesday. About how many miles did she drivealtogether? Margaret Company reported the following information for the current year: Net sales $3,000,000 Purchases $1,957,000 Beginning Inventory $245,000 Ending Inventory $115,000 Cost of Goods Sold 65% of sales Industry Averages available are: Inventory Turnover 5.29 Gross Profit Percentage 28% How do the inventory turnover and gross profit percentage for Margaret Company compare to the industry averages for the same ratios? (Round inventory turnover to two decimal places. Round gross profit percentage to the nearest percent.) Anna has 7 pairs of yellow socks, 8 pairs of red socks, and 2 pairs of blue socks mixed together in a drawer. All pairs of socks are identical except for their colors. What is the smallest number of socks she has to take out without looking to make sure she has 2 matching pairs of socks In your own words, explain the difference between push and pullfactors? What is the molarity (concentration) of 2.53 L of NaOH which exactly neutralizes 5.0L of 1.25 M HCl? Which of the follow are characteristics of the Republican Party? Donkey is the symbolsupports gun rightssupports government interventionsBig in Northeast, West Coast, and large citiesPopular in Southern United StatesElephant is the symbol Alex and hope were trying to solve -6x > 24. Whose inequality shows the solution? Show your work.(Alex's inequality is x > -4)(Hope's inequality is x < -4) PLEASE HELP ASAP 20 POINTS List the five areas the pentad should cover. replace the word determined with a synonym. A locked B forced C decided D increased Descartes believed in faith. Please select the best answer from the choices provided T F The thirteen amendment to the U.S Constitution affected the lives of millions of African americas by find the perimeter of a right triangle whose hypotenuse is 2 and whose area is 1. What are three events that led to the civil war? Plz explain cannot get this wrong ! The volume of a cone is 565.2 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? (Use = 3.14.) (1 point)Group of answer choices361836 After Lincoln's election to the presidency in 1860, which political icon called for Georgia to remain in the Union?A)Joseph BrownB)Robert ToombsC)Howell CobbD)Alexander Stephens Steam Workshop Downloader