Volume of a Cone

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Lesson Objective
In this lesson, we will learn about the volume of a cone.
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About This Lesson
In this lesson, we will:
  1. Learn about the formula for the volume of a cone and see how it is related to the volume of a cylinder.
  2. Look at an example on using the formula to calculate the cone's volume
  3. Look at another example on using the formula to calculate the base radius of a cone
The study tips and math video below will explain more.
a cone

Study Tips

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Tip #1
In the previous lesson, we learn that the volume of a cylinder is  πr2h. Now, the volume of a cone is one third of the cylinder's volume.

Hence, for a cone with height h and base radius r, the volume, V of the cone will be:
formula for the volume of a sphere
a cone with a height h and base radius r

where π is a number that is approximately equals to 3.14.

The math video below will give more explanations about this formula. Also, we will see some examples on how to use it.

Math Video

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Lesson Video

If the above player doesn't work, try this direct link.

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Math Video Transcript

Practice Questions & More

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Multiple Choice Questions (MCQ)
Now, let's try some MCQ questions to understand this lesson better.

You can start by going through the series of questions on the volume of a cone  or pick your choice of question below.
  1. Question 1 on finding the volume of a cone
  2. Question 2 on finding the base radius of a cone