High School Math : How to find the volume of a sphere in pre-algebra

Study concepts, example questions & explanations for High School Math

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Example Questions

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

What is the volume of a sphere with a radius of ?

Possible Answers:

Correct answer:

Explanation:

To solve for the volume of a sphere you must first know the equation for the volume of a sphere.

The equation is

Then plug the radius into the equation for  yielding 

Then cube the radius to get 

Multiply the answer by  and  to yield .

The answer is .

 

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

What is the volume of a sphere with a radius of ?

Possible Answers:

Correct answer:

Explanation:

The formula for the volume of a sphere is .

Plug in our radius to solve:

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

What is the volume of a sphere with a radius of ?

Possible Answers:

Correct answer:

Explanation:

The formula for the volume of a sphere is .

Plug in our radius to solve:

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

What is the volume of a sphere with a radius of ?

Possible Answers:

Undefined

Correct answer:

Explanation:

The formula for the volume of a sphere is .

Plug in our radius to solve:

Remember, an exponent just means a number times itself. That means that .

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

What is the volume of a sphere with a radius of ?

Possible Answers:

Correct answer:

Explanation:

The formula for the volume of a sphere is .

Plug in our radius to solve:

Example Question #6 : How To Find The Volume Of A Sphere In Pre Algebra

What is the volume of a sphere with a radius of ?

Possible Answers:

Correct answer:

Explanation:

The formula for the volume of a sphere is .

Plug in our radius to solve:

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

What is the volume of a sphere with a radius of ?

Possible Answers:

Correct answer:

Explanation:

The formula for the volume of a sphere is .

Plug in our given values.

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

If the volume of a sphere is , what is the radius?

Possible Answers:

Correct answer:

Explanation:

The formula for volume of a sphere is .

Plug in our given information.

Notice that the 's cancel out.

Divide both sides by . Since we're dividing by a fraction, that means we need to multiply both sides by the reciprocal: .

Example Question #9 : How To Find The Volume Of A Sphere In Pre Algebra

What is the volume of a sphere with a radius of ?

Possible Answers:

Correct answer:

Explanation:

To solve for the volume of a sphere you must first know the equation for the volume of a sphere.

The equation is

 

Then plug the radius into the equation for  yielding

 

Then cube the radius to get

 

Multiply the answer by  and  to yield .

The answer is .

Example Question #10 : How To Find The Volume Of A Sphere In Pre Algebra

What is the volume of a sphere with a radius of ?

Possible Answers:

Correct answer:

Explanation:

To solve for the volume of a sphere you must first know the equation for the volume of a sphere.

The equation is

Then plug the radius into the equation for  yielding 

Then cube the radius to get 

Multiply the answer by  and  to yield

.

The answer is .

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