mistyped before. A sphere has a volume of 500/3 pi cubic centimeters. What is the total surface area in square centimeters, of the sphere? The correct answer is 100pi, but I have no idea why. I need to see it worked out from start to finish :(

Answer 1

V = (4/3)πr^3
(500/3)π = (4/3)πr^3
r^3 = 125
r = 5

Surface area of sphere = 4πr^2
= 4π(5^2) = 100π

Answer 2

Just realized that bobpursley had answered your question before you posted it for the third time.

Please check to see if your questions are answered before you post it again.
http://www.jiskha.com/display.cgi?id=1318643925