A cone-shaped hole is drilled into a solid cube of metal. If the cube has side length 9 cm, what is the volume of the metal after the hole is drilled? Use 3.14 and round your answer to the nearest tenth.

Question

anonymous · Answer

assuming the radius of the cone = 4.5

and the height = 9

anonymous · Answer

that is you are trying to get the largest cone shape

anonymous · Answer

Volume of cone = (1/3) pi r^2 h 

Volume after drilling = h^3  -   (1/3) pi r^2 h

anonymous · Answer

$$V = h ( h^2 - \frac{1}{3} \pi r^2  ) $$

anonymous · Answer

sub in values  r=4.5 , h=9