Finding the Volume of a Cone Using Comparisons to Cylinders

This video tutorial explains how to calculate the volume of a cone by comparing it to a cylinder. It begins with a review of the cylinder volume formula and then demonstrates how the cone's volume is one-third of a cylinder with the same base and height. The tutorial includes an example calculation and highlights common mistakes, such as forgetting the one-third factor. It emphasizes the importance of using cubic units and leaving answers in terms of pi for precision.

How does the volume of a cone compare to the volume of a cylinder with the same base area and height?

What is the formula for the volume of a cone?

In the example given, what are the height and radius of the cone?

Why is it important to leave the answer for the volume in terms of pi?

What common mistake do students make when calculating the volume of a cone?