Question

A partial cylinder lies on its side. The bases are a 90� sector of a circle. What is the exact volume of the partial cylinder?

Answer 1

160π
`in^(3)`

Explanation:

Since,wearegiven a partial cylinder, therfore volume of the partial cylinder will be:

V=
`(1)/(4) \pi r^(2)h`

V=
`(1)/(4) \pi 8^(2) (10)` (r= 8in and h= 10in)

V=
`(1)/(4) \pi (64)(10)`

V= 160π
`in^(3)`

Answer 2

As the partial cylinder is one fourth of the regular cylinder ,

So the formula for volume is given by

`V= (1)/(4) \pi r^(2) h`

Plugging all the values we get

`V= (1)/(4) \pi (8)^(2) (10) = (1)/(4) \pi *64 * 10 = 160\pi`
`in^3`