SOLUTION: If the surface area of a sphere is 64 Pi, what is its volume?

Algebra ->  Algebra  -> Angles -> SOLUTION: If the surface area of a sphere is 64 Pi, what is its volume?      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 50603: If the surface area of a sphere is 64 Pi, what is its volume?
Answer by rapaljer(4667) About Me  (Show Source):
You can put this solution on YOUR website!
For a sphere

Volume: V=++%284%2F3%29%2Api%2Ar%5E3%29 and
Surface area: A=4%2Api%2A+r%5E2

64%2Api+=+4+%2Api%2A+r%5E2

Divide both sides by 4+pi:
+16+=+r%5E2 so r= 4.

Therefore, V=++%284%2F3%29%2Api%2Ar%5E3%29
V=++%284%2F3%29%2Api%2A4%5E3%29
+V+=%28256%2Api%29%2F3

R^2 at SCC