Question

4. Find the volume of the of the cylinder.
24
20
in
in
120
in

Answer 1

`V_(cylinder) =16,579.2\: in^3`

Explanation:

Inner radius
`(r_1)` = 20/2 = 10 in

Outer radius
`(r_2)` = 24/2 = 12 in

Height of the cylinder (h) = 120 in

`\because V_(cylinder) =\pi( r_2^2-r_1^2) h`

`\therefore V_(cylinder) =3.14(12^2-10^2) 120`

`\therefore V_(cylinder) =376.8(12^2-10^2)`

`\therefore V_(cylinder) =376.8(144-100)`

`\therefore V_(cylinder) =376.8(44)`

`\therefore V_(cylinder) =16,579.2\: in^3`