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jayda
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.
Subtract the volume of the cone from the volume of the cube. The volume of a cone formula is (1/3)\[(1/3)\pi r ^{2}h\]
\[(4^{3})-((1/3)(3.14)(2^{2})(4))\]=Volume of metal cube after cone is drilled
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.
@j814wong is correct, you would subtract the volume of the cone from that of the cube. But this belongs in the mathematics group.