SOLUTION: A hemisphere with radius 16 centimeters just fits inside a rectangular prism. What is the difference between the volume of the prism and the volume of the hemisphere?

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Question 1138626: A hemisphere with radius 16 centimeters just fits inside a rectangular prism. What is the difference between the volume of the prism and the volume of the hemisphere?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The base of the prism is 2*16 = 32 cm long.


The height of the prism is 16 cm.


Hence, its volume is   32*32*16 = 16384 cm^3.



The volume of the hemi-sphere is  %281%2F2%29%2A%284%2F3%29%2Api%2A16%5E3 = %282%2F3%29%2A3.14%2A16%5E3 = 8574.293 cm^3.


Now you calculate the difference and make your contribution to the solution of the problem.