Question

Find the volume of the shaded region of the cylinder

Answer 1

`\pi r^(2) (h)/(3)` is the volume of a cone.
the volume of the cone is
`27 \pi`

`\pi r^(2) h` is the volume of a cylinder
the volume of the cylinder is
`81 \pi`

`81 \pi - 27 \pi = 54 \pi` which is the volume of the shaded region