Question

The volume of a cone is cubic feet. Its height is 12 feet. Ashlyn is finding the area of the base of the cone. Her work is shown below.

Answer 1

Explanation:

The volume of a cone of height h and a circular base of radius r is given by
`V=(\pi r^2 h )/(3)`. Note that
`\pi r^2` is the area of the base, therefore, if we want to find the area of the base we must multiply the equation by 3 and divide by h. Hence

`\pi r^2 = (3V)/(h)`

In this case, h=12. Given a value of V, we can find the area of the base