Question

Find the volume of the hemisphere with a radius of 7 inches. Round your answer to the nearest tenth.

Answer 1

Answer:

718 cubic inches

Step-by-step explanation:

The formula for a sphere is $V=\frac{4}{3} \pi r^{3}$. A hemisphere is half this value. We will find the volume and then divide it in half. We substitute r=7 inches.

$V=\frac{4}{3} \pi r^{3}\\V=\frac{4}{3} \pi (7^{3})\\V=\frac{4}{3} \pi (343)\\V=1,436 inches^3$

We divide 1,436 by 2 for the volume of a hemisphere. V= 718 cubic inches