Answer:
[tex]V=\frac{\pi r^2}{3}(h+2r)[/tex]
Step-by-step explanation:
Let r denote the diameter of the hemisphere and h the height of the cone
[tex]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)[/tex]
