anonymous
  • anonymous
A machinist drilled a cone-shaped hole into a solid cube of metal as shown. If the cube's sides have a length of 4 centimeters, what is the volume of the metal cube after the cone is drilled? Use 3.14 for pi and round your answer to the nearest tenth.
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
Subtract the volume of the cone from the volume of the cube. The volume of a cone formula is (1/3)\[(1/3)\pi r ^{2}h\]
anonymous
  • anonymous
\[(4^{3})-((1/3)(3.14)(2^{2})(4))\]=Volume of metal cube after cone is drilled

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anonymous
  • anonymous
4 is the length of the cube sides and also the height (4) assuming the cone tip touches the bottom face of the cube. And the circumference of the cone is 4 so the radius is 2.
anonymous
  • anonymous
@j814wong is correct, you would subtract the volume of the cone from that of the cube. But this belongs in the mathematics group.

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