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High School Math : Geometry

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8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

What is the volume of a cube with a side length of ?

Possible Answers:

V=16

V=32

V=64

V=128

Correct answer:

V=64

Explanation:

To find the volume of a cube you must find the cube root of the side length.

The equation looks like this

$V=s^{3}$

Cube the side length, to find the answer

$V=4^{3}$

The answer is V=64 .

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Example Question #1 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

What is the volume of a rectangular solid with a base of , length of , and a height of ?

Possible Answers:

V=400

V=40

V=360

V=270

Correct answer:

V=360

Explanation:

To find the volume of a rectangular solid we must know the equation is

V=Base*Height*Length

We then plug in our numbers for base, length, and height

$V=8\cdot 5\cdot 9$

Multiply to get the answer of V=360 .

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Example Question #1 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a circular side with a radius of and a length of ?

Possible Answers:

$400\pi$

$72\pi$

$144\pi$

$432\pi$

Correct answer:

$432\pi$

Explanation:

To find the volume of a cylinder we must know the equation for the volume of a cylinder which is

In this example the length is and the radius is so our equation will look like this $Volume=\pi(6^{2})(12)$

We then square the to get .

Then perform multiplication to get $432\pi$ .

The answer is $432\pi$ .

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Example Question #1 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of and a height of ?

Possible Answers:

$162\pi$

$72\pi$

$36\pi$

$64\pi$

$20\pi$

Correct answer:

$36\pi$

Explanation:

When you think of volume, think of it as a stack of something. A cube is a stack of squares. A cylinder is a stack of circles. That means that the volume of a cylinder will be the area of that circle times the height, or $V=(\pi r^2)*h$

Plug in our given numbers to solve:

$V=(\pi r^2)*h$

$V=(\pi 2^2)*9$

$V=4\pi*9$

$V=36\pi$

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Example Question #3 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the radius of a cylinder with a volume of $144\pi$ and a height of ?

Possible Answers:

Correct answer:

Explanation:

Plug in our given values to solve:

$V=(\pi r^2)*h$

$144\pi=(\pi r^2)*9$

Divide both sides by .

$\frac{144\pi}{9}=\pi r^2$

$16\pi=\pi r^2$

Divide both sides by $\pi$ .

16=r^2

Take the square root of both sides:

$\sqrt{16}=\sqrt{r^2}$

4=r

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Example Question #4 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the height of a cylinder with a volume of $384\pi$ and a radius of ?

Possible Answers:

Correct answer:

Explanation:

Plug in our given values to solve:

$V=(\pi r^2)*h$

$384\pi=(\pi 8^2)*h$

$384\pi=64\pi*h$

Divide both sides by $64\pi$ :

$\frac{384\pi}{64\pi}=h$

6=h

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Example Question #5 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of and a height of ?

Possible Answers:

$53\pi$

$56\pi$

$63\pi$

$189\pi$

$16\pi$

Correct answer:

$63\pi$

Explanation:

Plug in our given values to solve:

$V=(\pi r^2)*h$

$V=(\pi 3^2)*7$

$V=9\pi*7$

$V=63\pi$

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Example Question #2 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of and a height of ?

Possible Answers:

$12.5\pi$

$20\pi$

$12\pi$

$50\pi$

$25\pi$

Correct answer:

$50\pi$

Explanation:

Plug in our given values to solve:

$V=(\pi r^2)*h$

$V=(\pi 5^2)*2$

$V=25\pi*2$

$V=50\pi$

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Example Question #7 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the radius of a cylinder with a volume of $128\pi$ and a height of ?

Possible Answers:

Correct answer:

Explanation:

Plug in our given values to solve:

$V=(\pi r^2)*h$

$128\pi=(\pi r^2)*8$

Divide both sides by .

$\frac{128\pi}{8}=\pi r^2$

$16\pi=\pi r^2$

Divide both sides by $\pi$ .

16=r^2

Take the square root of both sides:

$\sqrt{16}=\sqrt{r^2}$

4=r

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Example Question #8 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of and a height of ?

Possible Answers:

$45\pi$

$18\pi$

$54\pi$

$36\pi$

$14\pi$

Correct answer:

$54\pi$

Explanation:

When thinking about volume, think of it as a stack of something. In this case, a cylinder is a stack of circles. We want the area of the bottom circle times the height, or $V=(\pi r^2)*h$ .

Plug in our given information and solve:

$V=(\pi*3^2)*6$

$V=9\pi*6$

$V=54\pi$

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All High School Math Resources

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High School Math : Geometry

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #2 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

Example Question #1 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

Example Question #1 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #1 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #3 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #4 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #5 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #2 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #7 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #8 : How To Find The Volume Of A Cylinder In Pre Algebra

All High School Math Resources

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