Question

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

Answer 1

Answer:

$V=\frac{\pi r^2}{3}(h+2r)$

Step-by-step explanation:

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

$V=V_{cone}+V_{hs}\\V_{cone}=\pi r^2 \frac{h}{3}\\V_{hs}=\frac{2}{3}\pi r^3\\V = \pi r^2 \frac{h}{3}+\frac{2}{3}\pi r^3=\frac{\pi r^2}{3}(h+2r)$