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Right Circular Cylinder

A right circular cylinder is one of the most basic curvilinear geometric shapes. It is the surface formed by the points at a fixed distance from a given straight line called as the axisof the cylinder. The solid enclosed by this surface and by two planes perpendicular to the axis is also called a cylinder. The surface area and the volume of a cylinder have been known since deep antiquity. (Source: From Wikipedia).


Here we are going to learn how to measure the volume of a right cylinder.


Volume of a Right Circular Cylinder


Let r be the radius and h be the perpendicular height of a right cylinder as shown below,

RightCircularCylinder

The volume of a right cylinder is given by the product of the area of the top or bottom circle and the height of the cylinder.

Volume of a right circular cylinder = area of top or bottom circle * height of the cylinder

                                                                 = `pi r^2` * h

                                                                 = `pi r^2 h`

The volume of a right cylinder is measured in terms of cubic units.


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How to Find the Volume of a Right Circular Cylinder


Example 1:

Find the volume of a right cylinder, if the radius and height of the cylinder are 20 and 30 cm.

Solution:

Volume of a right cylinder = `pi r^2 h` cubic units

Given that, r = 20 cm

                    h = 30 cm

Volume = 3.14 * 202 * 30

               = 3.14 * 20 * 20 * 30

               = 37680

So, the volume of the given right cylinder is 37680 cubic cm.

Example 2:

The radius and height of a right cylinder is given as 5 m and 6.5 m respectively. Find the volume of the right cylinder.

Solution:

Volume of a right cylinder = `pi r^2 h` cubic units

Given that, r = 5 m

                    h =6.5 m

Volume = 3.14 * 52 * 6.5

               = 3.14 * 5 * 5 * 6.5

               = 510.25

So, the volume of the given right cylinder is 510.25 cubic m.