Question

Find the volume of a cylinder if it has a diameter of 8 and a height of 12. Leave your answer in terms of π. A) 64π B) 192π C) 256π D) 768π

Answer 1

A cylinder has volume V=pir^2h
use r=8/2=4
v=16*12pi
This is true because the circle has Area pi*r^2 and it is being potruded thru a distance h to make a cylinder if you can visualize that.

Answer 2

The volume of a cylinder be
`192\pi` .

Option (B) is correct.

Explanation:

Formula

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

Where r is the radius of a cylinder .

As given

if it has a diameter of 8 and a height of 12.

`r = (8)/(2)`

r = 4 units

h = 12 unit

Putting in the formula

`Volume\ of\ a\ cylinder = \pi* 4* 4* 12`

`Volume\ of\ a\ cylinder = 192\pi`

Therefore the volume of a cylinder be
`192\pi` .

Option (B) is correct.