SOLUTION: Hi, here is my geometry question: Find the volume of a sphere whose surface area is 100 pi cm2 I tried and got 166.6 pi cm3 but i dont know if it is right. Thank you som muc

Algebra ->  Surface-area -> SOLUTION: Hi, here is my geometry question: Find the volume of a sphere whose surface area is 100 pi cm2 I tried and got 166.6 pi cm3 but i dont know if it is right. Thank you som muc      Log On


   

Question 447171: Hi, here is my geometry question:
Find the volume of a sphere whose surface area is 100 pi cm2
I tried and got 166.6 pi cm3 but i dont know if it is right.
Thank you som much for your time!
Found 2 solutions by scott8148, poliphob3.14:
Answer by scott8148(6628) About Me  (Show Source):
Answer by poliphob3.14(115) About Me  (Show Source):
You can put this solution on YOUR website!
As you know the surface are of the sphere is given by the formula:
A=4%2Api%2Ar%5E2, substituting we get:100%2Api=4%2Api%2Ar%5E2=>r%5E2=25=>
r=5cm, since we know the radius easy can find the volume by the formula:
V=%284%2F3%29%2Api%2Ar%5E3, substituting we get:V=%284%2F3%29%2Api%2A5%5E3=>
=>V=%28500%2Api%2F3%29cm%5E3.