What is the formula for the volume of a cylinder?

Solution:

Volume is an important quantity that has an immense number of applications. Different shapes have different formulae for volumes.

The general formula of volume can be written as 'Volume = Area of the base × Height'.

As we know that a regular cylinder consists of two circles and a curved surface as shown below.

Let the radius of the base be r and the height be h, as shown in the image above.

Now, using the general formula for the volume of a solid, we get:

⇒ The volume of cylinder = Area of the base (circle) × Height = πr²h

Now, for example, we have r = 5 cm and h = 7 cm, then using the derived formula above and π = 22/7, we get the volume of the cylinder = 550 cm³.

Hence, the formula for the volume of a cylinder is πr²h cubic units.

What is the formula for the volume of a cylinder?

Summary:

The formula for the volume of a cylinder is πr²h cubic units.