What is the formula for the volume of a cylinder?
Volume is an important quantity that has an immense number of applications. Different shapes have different formulae for volumes.
Answer: The formula for the volume of a cylinder is πr2h.
Let's understand how we get the formula for the volume of a cylinder.
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, we can consider the base to be circular for a cylinder.
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.