Question

Find the volume of an ice cream cone bounded by the hemisphere

Answer 1

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

Explanation:

Let r denote the diameter of the hemisphere and h the height of the cone

`V=V_(cone)+V_(hs)\\V_(cone)=\pi r^2 (h)/(3)\\V_(hs)=(2)/(3)\pi r^3\\V = \pi r^2 (h)/(3)+(2)/(3)\pi r^3=(\pi r^2)/(3)(h+2r)`