SOLUTION: The volume of a sphere with radius r is given by the formula V=(4/3)πr^3 and the surface area is given by the formula S=4πr^2 . If S=100π, find V. (use π = 3.

Algebra ->  Pythagorean-theorem -> SOLUTION: The volume of a sphere with radius r is given by the formula V=(4/3)πr^3 and the surface area is given by the formula S=4πr^2 . If S=100π, find V. (use π = 3.      Log On


   

Question 224110: The volume of a sphere with radius r is given by the formula V=(4/3)πr^3 and the surface area is given by the formula S=4πr^2 . If S=100π, find V. (use π = 3.14.)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a sphere with radius r is given by the formula V=(4/3)πr^3
and the surface area is given by the formula S=4πr^2 .
If S=100π, find V. (use π = 3.14.)
:
Find r from the surface area equation
4%2Api%2Ar%5E2 = 100%2Api
:
r%5E2 = %28100%2Api%29%2F%284%2Api%29
:
r%5E2 = 25
r = 5
:
Find V
V = %284%2F3%29%2Api%2Ar%5E3
V = %284%2F3%29%2A3.14%2A5%5E3
V = %284%2F3%29%2A392.5
V = 5231%2F3 cu units