SOLUTION: How do you find the radius when you know that the volume is 33 pie? Can you show me an explanation?

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Question 1034529: How do you find the radius when you know that the volume is 33 pie? Can you show me an explanation?
Answer by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
.
If you are talking/asking about a sphere, then its volume is 

V = %284%2F3%29%2Api%2Ar%5E3,

where "r" is its radius.

If you have given V = 33%2Api, it means that

%284%2F3%29%2Api%2Ar%5E3 = 33%2Api.

Cancel the factor pi in both sides. You will get

%284%2F3%29%2Ar%5E3 = 33.

Then  r%5E3 = %283%2A33%29%2F4 = 24.75  and 

r = root%283%2C+24.75%29 = 2.914 (approximately).