Question

Geometry practice please show work

Answer 1

Answer: 670 ft

Explanation:

We essentially have a cylinder and a cone that we can break the shape down into.

Volume of cylinder =
`\pi r^(2) h`

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

Volume of that shape =
`\pi r^(2) h + \pi r^(2) (h)/(3)`

Radius =
`(diameter)/(2) = 4`

Height of cylinder = 12

Height of cone = 16 - 12 = 4

Volume of cylinder =
`\pi*4^(2)* 12 = 192\pi`

Volume of cone =
`\pi*4^(2)*(4)/(3) = (64)/(3)\pi`

Volume of shape =
`(64)/(3) \pi +192\pi`

=
`21.3\pi +192\pi = 213.3\pi`

or 670.1 feet