Question

*What is the volume of a cylinder with radius 2r cm and height 3h cm?*

1️⃣ r^2h cubic cm
2️⃣ 12r^ h cubic cm
3️⃣ 12r^ 3h cubic cm
4️⃣ 12r^ h cm​

Answer 1

Given:

The radius of the cylinder = 2r

Height of the cylinder = 3h

To find:

The volume of the cylinder.

Solution:

If the radius of the cylinder is r and height is h then the volume of the cylinder =

$\pi {r}^{2} h$

Therefore the volume of the cylinder with radius 2r cm and height 3h cm will be:

$\pi {(2r)}^{2} (3h)$

$= 12\pi {r}^{2} h \: {cm}^{3}$

Therefore the volume of the cylinder is

$12\pi {r}^{2} h \: {cm}^{3}$