Examples on Volume

Example 1: Find the volume of cube with side 5 units.

Solution:

Volume of cube is given by:

Volume of Cube = a3

V = 53

Volume of Cube = 125 cubic units

Example 2: Find the volume of cuboid with length, breadth and height as 9, 6 and 5 respectively.

Solution:

Volume of cuboid is given by:

Volume of Cuboid = lbh

V = 9 × 6 × 5

Volume of Cuboid = 270 cubic units

Example 3: Find the volume of cylinder with height 10 units and radius 5 units.

Solution:

Volume of cylinder is given by:

Volume of Cylinder = πr2h

V = π(5)2 × 10

Volume of Cylinder = 250π cubic units

Example 4: Find the volume of cone with height and radius as 13 and 6 units respectively.

Solution:

Volume of cone is given by:

Volume of Cone = (1 /3)πr2h

V = (1 /3)π 62 × 13

V = 12 × 13π

Volume of Cone = 156π cubic units

Example 5: Find the volume of sphere whose radius is 9 units.

Solution:

Volume of sphere is given by:

Volume of Sphere = (4 / 3)πr3

V = (4 / 3)π 93

V = 4 × 243 × π

Volume of Sphere = 972π cubic units

Example 6: Find the volume of hemisphere whose radius is 6 units.

Solution:

Volume of hemisphere is given by:

Volume of Hemisphere = (2/3)πr3

V = (2 / 3)π 63

V = 4 × 36π

Volume of Hemisphere = 144π cubic units

Volume : Definition, Formula, Examples

Volume of the shape means the capacity of the shape. To calculate volumes of different shapes we have different formulas. The basic formula for volume is obtained by multiplying length, breadth and height.

In this article, we will explore how to calculate volumes for different shapes. Also, we will solve some examples related to how to calculate volumes.

Table of Content

  • Volume Definition
  • Volumes Formulas for Various Shapes
  • Volume of 3D-Shapes
  • List of Volume Formulas
  • Units of Volume
  • How to Calculate Volume?
  • Examples on Volume

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Volume Definition

Volume is the measure of the region covered by the 3-D solids. In other words, volume is defined as the capacity of a closed surface in three-dimensional space. The unit of volume is cubic units. The volume of various figures is used for various purposes. Volume formulas also have real-life applications, such as finding the volume of containers, the volume of the water tank, and others....

Volumes Formulas for Various Shapes

Formulas used to calculate the volume of various figures is shown in the image added below:...

Volume of 3D-Shapes

Volume formulas of different solids are given below:...

List of Volume Formulas

Volume formulas for various figure are added in the table below:...

Units of Volume

Volume of any 3-d shape is the space occupied by that shape and is calculated in unit3. The standard unit to measure the side of any 3-d shape is ‘m’ and so the volume of any 3-d shape is calculated in m3. Other units in which voluemof 3-d shapes is calculated is added in the table below:...

How to Calculate Volume?

To calculate volume of any 3-d shapes follow the steps added below:...

Examples on Volume

Example 1: Find the volume of cube with side 5 units....

Practice Questions on Volume

Q1. Find the volume of cube with side 13 units....

FAQs on Volume

What is Volume?...