To find the volume of the cylinder, we have to multiply the height of the cylinder to its area. Firstly find the area of the cylinder (using formula A = $\pi$ * r

^{2}) and then multiply with the height of the cylinder. The volume of a cylinder is represented by cubic units.

**Steps for Finding the Volume of the Cylinder:**

**Step 1: **Find the area of the cylinder.

**Step 2: **Multiply the area of the cylinder and height of the cylinder.

Step 3: Write answer in the proper square unit of measurement.

Example 1:Find the volume of the cylinder having radius 4 cm and height 6 cm.

Solution:

Step 1:Radius of the cylinder (r) = 4 cm

Height of the cylinder (h) = 6 cm

Step 2: Volume of a cylinder (V) = $\pi$ r^{2} h=

$\frac{22}{7}$ * 4

^{2} * 6

=

$\frac{22}{7}$ * 4 * 4 * 6

= 301.71

Hence the volume of a cylinder is 301.71 cm

^{3} .

Example 2:

If the height of a cylinder is increased by 20% but radius of its base remains the same, then its volume will be increased by how many percent.

Solution:Let the initial height and radius of the cylinder be 'h' and 'r' respectively

Step 1:Initial volume of the cylinder = $\pi r^2$ h

and increased height =

$\frac{100 + 20}{100}$ h

=

$\frac{12}{10}$ h

Step 2:Volume of the resulting cylinder =

$\frac{\pi r^2 * 12 h}{10}$Increased volume of the cylinder =

$\frac{12\pi r^2 h}{10}$ - $\pi r^2$ h

=

$\frac{2\pi r^2 h}{10}$

Therefore % increase in volume =

$\frac{2\pi r^2 h}{10}$ x

$\frac{100}{\pi r^2 h}$= 20 %

Hence the volume of the cylinder will be increased by 20%.