a sphere has a volume of 500/3pi cubvic centimeters. What is the total surface area, in square centimeters, of the square? The answer is 100pi, but i don't know why. HELP!!!!!!!!!

Answer 1

You just have to relate the formulas for volume and area.

v = 4/3 pi r^3

use that to get r.

500pi/3 = 4pi/3 r^3

500pi/3 * 3/4pi = r^3
125 = r^3
r = 5

Knowing that r=5, we can now get the area:

a = 4pi r^2 = 4pi * 25 = 100pi