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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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

Example Questions

Example Question #811 : High School Math

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

Possible Answers:

$V=1344\pi$

$V=85\pi$

$V=578\pi$

$V=893\pi$

Correct answer:

$V=1344\pi$

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: $V=(8^{2})(21)(\pi)$

We then square the to get $8^{2}=64$ .

Then perform multiplication to get $V=1344\pi$ .

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Example Question #153 : Geometry

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

Possible Answers:

$V=616\pi$

$V=2156\pi$

V=308

$V=308\pi$

Correct answer:

$V=2156\pi$

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

$V=7^{2}(\pi)(44)$

We then square the to get

$V=(49)(\pi)(44)$

Then perform multiplication to get $V=2156\pi$ .

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Example Question #154 : Geometry

What is the volume of a cone with a circle radius of and a height of ?

Possible Answers:

$V=392\pi$

$V=168\pi$

$V=1176\pi$

$V=49\pi$

Correct answer:

$V=392\pi$

Explanation:

To find the volume of a cone we must use the equation

We must first solve for the area of the circle using r=7 .

The equation for the area of a circle is

We plug in and square it to get

$A=49\pi$

We then plug our answer into the equation for the cone with h=24 to get

$V=\frac{1}{3}\cdot (49\pi)\cdot (24)$

We multiply to get our final answer for the volume of the cone

$V=392\pi$

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Example Question #812 : High School Math

A cylinder has a radius of inches and a height of inches. What is the volume of the cylinder?

Possible Answers:

inches cubed

$15\pi$ inches cubed

inches cubed

$45\pi$ inches cubed

Correct answer:

$45\pi$ inches cubed

Explanation:

The formula for the volume of a cylinder is $V = \pi r^{2}h$ , where is the radius, and is the height.

Plugging into this formula with our given values, we see that $V = \pi (3)^{2}(5) = \pi (9)(5) = 45\pi$ inches cubed.

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Example Question #813 : High School Math

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

Possible Answers:

$6069\pi$

$4765\pi$

$9000\pi$

$357\pi$

Correct answer:

$6069\pi$

Explanation:

To find the volume of a cylinder, use the equation:

$Volume=\pi\cdot\ Radius^{2}\cdot\ Height$

Substitute the given values for radius and height:

$Volume=\pi\cdot(17^{2})\cdot21$

$Volume=\pi \cdot 289\cdot 21$

$Volume=6069\pi$

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Example Question #811 : High School Math

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

Possible Answers:

$896\pi$

896

$448\pi$

$112\pi$

$678\pi$

Correct answer:

$896\pi$

Explanation:

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

Here the length is and the radius is , so the equation becomes $V=(8^{2})(14)(\pi)$ .

First square the to get $8^{2}=64$ .

Then perform multiplication to get $(64)(14)(\pi)=896\pi$ .

The answer is therefore $896\pi$ .

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

What is the volume of a pyramid with a square side length of and a height of ?

Possible Answers:

300

120

320

240

Correct answer:

320

Explanation:

To find the volume of a pyramid we must use the equation $Volume\:of\:pyramid=\frac{1}{3}(Area\: of\: square)(height)$

We must first solve for the area of the square using $Area\: of\: square=(side\: length)^{2}$

We plug in and square it to get $8^{2}=64$

We then plug our answer into the equation for the pyramid with $Volume\:of\:pyramid=\frac{1}{3}(64)(15)$

We multiply the result by $\frac{1}{3}$ to get our final answer for the volume of the pyramid 320 .

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

What is the volume of a pyramid with a square base that has a side length of and a height of ?

Possible Answers:

436

672

2016

168

Correct answer:

672

Explanation:

To find the volume of a pyramid we must use the equation

$V=\left(\frac{1}{3}\cdot \right)(Base\ Area)\cdot (Height)$

We must first solve for the area of the square using $A=s^{2}$

We plug in and square it to get $A=12^{2}$

We then plug our answer into the equation for the volume of the pyramid with h=14

It will look like this

$V=\left(\frac{1}{3}\right)\cdot (144)\cdot (14)$

We multiply the result to get our final answer for the volume of the pyramid 672 .

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

What is the volume of a pyramid with a square base length of and a height of ?

Possible Answers:

V=105

V=525

V=145

V=175

Correct answer:

V=175

Explanation:

To find the volume of a pyramid we must use the equation

$V=\left ( \frac{1}{3} \right )\times Area\ of\ base\times height$

We must first solve for the area of the square using

We plug in and square it to get A=25 .

We then plug our answer into the equation for the volume of the pyramid

$V=\frac{1}{3}\cdot (25)\cdot (21)$

We multiply the result to get our final answer for the volume of the pyramid

V=175

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Example Question #812 : High School Math

What is the volume of a pyramid with a base area of 9 sqaure centimeters and a height of 4 centimeters?

Possible Answers:

$12\ cm^3$

$36\ cm^3$

$108\ cm^3$

$48\ cm^3$

Correct answer:

$12\ cm^3$

Explanation:

The volume of a pyramid can be determined using the following equation:

$V=\frac{1}{3}lwh=\frac{1}{3}Ah$

$V=\frac{1}{3}(9\ cm^2)(4cm)=\frac{1}{3}36\ cm^3=12\ cm^3$

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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #811 : High School Math

Example Question #153 : Geometry

Example Question #154 : Geometry

Example Question #812 : High School Math

Example Question #813 : High School Math

Example Question #811 : High School Math

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

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

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

Example Question #812 : High School Math

All High School Math Resources

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