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.

Question

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.

anonymous · Answer

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anonymous · Answer

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 · Answer

$$(4^{3})-((1/3)(3.14)(2^{2})(4))$$=Volume of metal cube after cone is drilled

anonymous · Answer

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 · Answer

@j814wong is correct, you would subtract the volume of the cone from that of the cube. But this belongs in the mathematics group.