﻿ Volume of Cylinder - Concept, Formula, Unit & Questions

Volume of Cylinder

Volume of Cylinder - Sub Topics

• Properties of Cylinder
• Types of Cylinder
• Volume of a Right Circular Cylinder
• Formula for Volume of a Right Circular Cylinder
• Formula for Volume of a Hollow Cylinder
• Unit of Volume
• A cylinder is a three-dimensional solid consisting of two parallel circular bases joined together by a curved surface at a particular distance from the center of the circular bases.

Properties of Cylinder

1. It has 1 curved surface and 2 circular faces.
2. It has 2 curved edges and zero vertices.
3. It has 2 identical, circular bases which are parallel and congruent.

Types of Cylinder

In geometry, there are 4 types of cylinders:

1. Right circular cylinder: A cylinder whose axis is perpendicular to both bases.

2. Oblique cylinder: A cylinder whose axis is not perpendicular to both bases.

3. Elliptic cylinder: A cylinder whose bases are in the form of an ellipse.

4. Hollow cylinder: A cylinder in which two circular cylinders are bound one inside the other.

Volume of a Right Circular Cylinder

The volume of a right circular cylinder is the amount of space inside the cylinder.

Formula for Volume of a Right Circular Cylinder

V = πr2h

where:
V is the volume
π (pi) is a mathematical constant (approximately 3.14)
r is the radius of the cylinder (half of the diameter)
h is the height of the cylinder

Formula for Volume of a Hollow Cylinder

V = π (R2 - r2)h

where:
R is the outer radius of the cylinder
r is the inner radius of the cylinder
h is the height of the cylinder
π (pi) is a mathematical constant (approximately 3.14)

Unit of Volume

The volume of a cylinder is usually measured in cubic units, such as cubic centimetres (cm3), cubic metres (m3), cubic feet (ft3) and so on. It can be also measured in litres or kilolitres.

Relationship between Litre and Cubic Metre and Litre and Centimetre

1 m³ = 1000 L
1 L = 1000 cm³