A “gazing ball” is a spherical garden ornament with a mirrored surface that reflects its surroundings. The surface area of the ball is approximately 314 square inches. What is its volume to the nearest cubic inch?

Answer 1

A=4πr2

314 = 4 * 3.14 * r^2
314 = 12.56 * r^2
314/12.56 = r^2
25 = r^2
5 = r

V=4/3πr^3
V = (4/3) * 3.14 * 5^3
V = ________ cubic inches