aclemkachauscetty
aclemkachauscetty aclemkachauscetty
  • 14-09-2016
  • Mathematics
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The volume of a cylinder is 81 cubic feet. What is the volume of a cone that fits exactly inside the cylinder? Provide an explanation and proof for your answer.

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HomertheGenius
HomertheGenius HomertheGenius
  • 16-09-2016
V ( cylinder ) = r² π h
V ( cone ) = 1/3 r² π h
A cone that fits exactly inside the cylinder has the volume:
V ( cone ) = 1/3 V ( cylinder = 1/3 · 81 = 27 ft³
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