Question

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.

Answer 1

assuming the radius of the cone = 4.5

and the height = 9

Answer 2

that is you are trying to get the largest cone shape

Answer 3

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

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

Answer 4

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

Answer 5

sub in values r=4.5 , h=9