Volume of a cylinder formula explained with examples

Learn and know the formula for volume of a cylinder in mensuration chapter in mathematics. Volume means the capacity of a cylinder. Still if it is difficult to understand what is meaning of volume, in simple way we can explain as the amount of liquid which can be hold by the cylinder.

To find out this we should know the formula. Regarding cylinder, we have three important formulas, in that volume of cylinder is one of them. In Remaining two formulas first one is curved surface area of a cylinder in shortcut it is C.S.A. second formula is total surface area, in shortcut it is T.S.A. now we will see the formula for volume of a cylinder.

The below given Formula is for the volume of a cylinder:

We know the shape of a cylinder, if you don’t have idea then just observe the above picture. In cylinder shape, bottom face and top face will be in the shape of a circle. To find out the formula for volume of a cylinder just multiply the base area (bottom face i.e. circle) with height of cylinder.

Volume of a cylinder = product of area of the base and height = π ${ r }^{ 2 }$ × h where “r” represents radius of cylinder and “h” represents height.

Base of cylinder will be of the shape circle. So area of circle formula we need to take.

NOTE:

Before substituting the values of “r” and “h” see that both are in same units. If they are in different units convert them into same units then substitute.

Ex 1:

Find the volume of a cylinder if radius is 3 cm and height is 7 cm.

Solution:

We know that,

Formula of Volume of a cylinder

= π ${ r }^{ 2 }$ × h

= $\frac { 22 }{ 7 }$ × ${ 3 }^{ 2 }$ × 7

= 22 × 9

= 198 ${ cm }^{ 3 }$

Ex 2:

Calculate the volume of a cylinder if radius is 6 cm and height is 35 cm.

Solution:

We know that,

Formula of Volume of a cylinder

= π ${ r }^{ 2 }$ × h

= $\frac { 22 }{ 7 }$ × ${ 6 }^{ 2 }$ × 35

= 22 × 36

= 792 ${ cm }^{ 3 }$