Question

If the height of a cylinder is equal to twice the radius of its base then find the volume of the cylinder

Answer 1

Answer:

The Volume of the cylinder is $2\pi r^3$ cubic units

Therefore $V=2\pi r^3$ cubic units

Step-by-step explanation:

Given that the height of a cylinder is equal to twice the radius of its base

• Let r be the base radius of the given cylinder
• The given height can be written as h=2r cm

To find the volume of the cylinder:

• Volume of the cylinder is $V=\pi r^2h$ cubic units
• Now substituting the values in the above formula we get

$V=\pi r^2(2r)$ cubic units

$=2\pi r^3$ cubic units

Therefore the Volume of the cylinder is $2\pi r^3$ cubic units

Therefore $V=2\pi r^3$ cubic units