Question

What is the volume of the cone?

Answer 1

The area of a cone in terms of the area of the base and the height is as follows:

$A = \dfrac{1}{3} B h$

• $B$ is the area of the base
• $h$ is the height of the cone

Thus, we can solve the problem. We are trying to find the area of the base and are given the other values we need to solve the problem. Thus, let's substitute and find our solution.

$124 = \dfrac{1}{3} B (12) = 4B$

$B = 31$

The solution to the problem is 31.