SOLUTION: A solid sphere of ice with radius 4 is placed on a hollow cone (vertex pointed down) of radius 4 and height 5. When the ice melts, how much of the water will overflow the cone? Exp

Algebra ->  Bodies-in-space -> SOLUTION: A solid sphere of ice with radius 4 is placed on a hollow cone (vertex pointed down) of radius 4 and height 5. When the ice melts, how much of the water will overflow the cone? Exp      Log On


   

Question 1085895: A solid sphere of ice with radius 4 is placed on a hollow cone (vertex pointed down) of radius 4 and height 5. When the ice melts, how much of the water will overflow the cone? Express your answer as a common fraction in terms of pi.
Answer by ikleyn(52894) About Me  (Show Source):
You can put this solution on YOUR website!
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The volume of the sphere is %284%2F3%29%2Api%2Ar%5E3 = %284%2F3%29pi%2A4%5E3 = %28256%2F3%29%2Api cubic units.


The volume of the hollow cone is %281%2F3%29%2Api%2Ar%5E2%2Ah = %281%2F3%29%2Api%2A4%5E2%2A5 = %2880%2F3%29%2Api cubic units.


The difference  %28256%2F3%29%2Api-%2880%2F3%29%2Api = %28176%2F3%29%2Api cubic units is the volume under the question.