High School Math : How to find the volume of a cone 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 Cone In Pre Algebra

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

Possible Answers:

Correct answer:

Explanation:

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

We must first solve for the area of the base using .

The equation for the area of a circle is

We plug in  and square it to get

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

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

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

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

 

Possible Answers:

Correct answer:

Explanation:

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

 

We must first solve for the area of the circle using 

The equation for the area of a circle is

 

We plug in  and square it to get

 

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

 

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

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

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

Possible Answers:

Correct answer:

Explanation:

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

We must first solve for the area of the circle using 

The equation for the area of a circle is 

We plug in  and square it to get 

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

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

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

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

Possible Answers:

Correct answer:

Explanation:

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

Solve for the area of a circle with radius :

Substitute  for area of circle and  for height into the equation for volume

.

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

What is the volume of a cone with a height of meters and a base diameter of  meters?

Possible Answers:

Correct answer:

Explanation:

The formula for the volume of a cone is  

Notice that we are given the diameter, meters, not the radius; thus, we have to solve for the radius by dividing the diameter by two. The radius is therefore  3 meters. Then, we plug this value into the formula for volume:

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