Question

What’s the volume of this

Answer 1

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,

$r=\dfrac{8}{2}$

$r=4$

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