Question

The solid contains a cone and a hemisphere. Find the volume of the composite solid. (Round your answer to two decimal places.)

Answer 1

$volume = \frac{1}{3} \pi {r}^{2} h + \frac{2}{3} \pi {r}^{3} \\ \\ volume = \frac{1}{3} \pi {r}^{2} (h + 2r)$

$volume = \frac{1}{3} \pi \times {7}^{2} \times (10 + 2 \times 7) \\ \\ volume = \boxed{1231.50 \: {in}^{3} }$