What’s the volume of this

Question

asked Apr 17, 2022 124k views

1 Answer

Silverfighter · Answer 1 · 2022-04-22T04:52:01+0000

Given:

The height of the cylinder = 12 in

The diameter of the base of the cylinder = 8 in.

To find:

The volume of the cylinder.

Solution:

The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,

r=(8)/(2)

r=4

So, the radius of the base of the cylinder is 4 in.

The height of the cylinder, h = 12 in.

Base area of the cylinder is:

$B=\pi r^2$

Where, B is the base area and r is the radius.

$B=\pi (4)^2$

$B=16\pi$

So, the base area is
$16\pi$ square inches.

The volume of the cylinder is:

$V=\pi r^2h$

V=Bh

Where, r is radius, h is height, B is base area.

Putting
$B=16\pi$ and
h=12 , we get

$V=(16\pi )12$

$V=192\pi$

So, the volume is
$192\pi$ cubic inches.

Therefore,
$r=4\text{ in}, h=12\text{ in},B=16\pi \text{ in}^2,V=192\pi \text{ in}^3$ .