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 }

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