SOLUTION: A filled beachball has a volume of 36π com^3. How many times bigger is the volume than the circumference when flattened into a perfect circle!

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Question 1141897: A filled beachball has a volume of 36π com^3. How many times bigger is the volume than the circumference when flattened into a perfect circle!
Answer by ikleyn(52834) About Me  (Show Source):
You can put this solution on YOUR website!
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%284%2F3%29pi%2Ar%5E3 = 36%2Api  cm^3  for the volume.  


It implies


r%5E3 = %2836%2A3%29%2F4 = 27  =====>  r = root%283%2C27%29 = 3  for the radius.


The problem asks for the ratio %284%2F3%29%2Api%2Ar%5E3  to  2%2Api%2Ar,  which is equal to


    %282%2F3%29%2Ar%5E2 = %282%2F3%29%2A3%5E2 = 2*3 = 6.    ANSWER