Volume of a Cylinder - Formula, Definition and Examples

A cylinder has a three-dimensional shape that is unique from other regular-shaped three-dimensional things. It is a curving figure, which implies it contains the concepts of radius and pi. The bases (top and bottom) are parallel to one another and are linked by the curved surface. The centers of the circular bases lay over one another to form a right circular cylinder. The axis is a line segment that links the two mid-points and indicates the cylinder's height. The cylinder's top view appears as a circle, but its side view mimics a rectangle. Cylinders are defined in different shapes and sizes. They are as follows:

Right circular cylinder: A cylinder with a perfect circular base and each line segment on the laterally curved surface perpendicular to the base is known as a right circular cylinder.

Oblique Cylinder: A cylinder with sides that lean over the base at an angle, i.e., the axis is drawn from the center of one base does not perpendicularly fall over the center of the other base and is slightly at an angle is known as an Oblique cylinder.

Elliptic Cylinder: A cylinder with elliptical bases rather than the standard circular ones is known as an elliptic cylinder.

Hollow Cylinder: A right circular hollow cylinder is a cylinder made up of two right circular cylinders that are confined one within the other.

We can also consider a cylinder to be a cumulation of disks placed over one another until some desired height is achieved. This leads to the concept that the volume is the area or space occupied by each disk. Let us now formulate the method to find the volume of a cylinder using its concept.

You May Also Want to Know How to Find Volume of a Cube.

Volume

The volume of a cylinder is defined as the amount of water in liters it can hold inside it. Let us assume a right circular cylinder with radius ‘k’ and a depth ‘d’. The volume of the cylinder is an area of a base into the depth.

The volume of right circular cylinder = π k² d 

This is the case when the cylinder is solid. Now let us talk about the volume of hollow cylinder-like water bottles or containers. A hollow cylinder contains a closed base and an open base. The open base is in the form of a ring because two concentric circles are present in an open cylinder. The circles have their own radius but the same depth. Let us assume a hollow cylinder with an inner radius as ‘k1’ and outer radius as ‘k2’ and let the height or depth of the cylinder be ‘d’. Therefore, the volume of a hollow cylinder will be conceptualized as the product of the difference between the area of the concentric circles (at open ends) and the depth of the cylinder.

Volume (hollow cylinder) = (π k2² - π k1²) d

                                              = π d (k2² - k1²) 

You May Also Want to Know How to Find Volume of a Hemisphere.

Volume of Cylinder in Liters

We always find the volume of any shape in cubic centimeters or meters. We can easily convert the cubic centimeters of volume into liters using a simple formula which is 1 L= 1000 cubic cm or 0.001 cubic m.