Access to All SSC Exams Courses Grab Now
Home Articles Volume of a Sphere: Definition, Formula and Examples

Volume of a Sphere: Definition, Formula and Examples

This post comprises of the definition, formula along with examples of a volume of a sphere to explain the students on the applications of the same.

A sphere is a geometrical figure whose set of all points in three-dimensional space are at the same distance (the radius) from a given point (the centre), or the result of rotating a circle about one of its diameters. In order to determine the volume of a sphere, one must apply the formula required to calculate it. The sphere is also the one of the most important topics of geometry that is asked in the government recruitment exams. Generally, there are questions asked are related to basic concepts and formulas. To let you make the most of the Mathematics section

Here we are providing the definition, properties, formula with examples of a sphere to explain the students on the applications of the same.

About Course:

Prepare for all SSC exams like  SSC CGL,CHSL,CPO,Stenographer,MTS,Selection post and GD Constable etc from India’s Best Teaching Educators!

About SSC ka Maha Pack:
SSC ka Maha Pack is a full-fledged course which incorporates all the essentials like Live online classes, Test series, Video courses, eBooks & countless unprecedented features that will help you excel in all the upcoming Teaching exams like  SSC CGL,CHSL,CPO,Stenographer,MTS,Selection post and GD Constable etc

You get access to:

  • 200+ Hours of Live Classes
  • 300+ Recorded Videos
  • 500+ Total Tests
  • 100+ Ebooks 
  • Teacher's Class Notes/Slides.   

Course Language
Classes: Hindi and English (Bilingual)
Study Material: English and Hindi
Tests: English and Hindi

Validity: 1 Month

Offer available for ADDA247 APP. Download the APP Now.

SSC Test Pack Online Test Series
  1. 1400+ Tests
  2. Detailed Solutions and Analysis
  3. Content by Expert Faculties
  1. 14 Months
  2. 1 Month
  3. 3 Months
699 49/month

The volume of a sphere: Definition

sphere is a perfectly round geometrical object in 3-dimensional space. It can be characterized as the set of all points located equidistance (radius) away from a given point (center). It is perfectly symmetrical and has no edges or vertices.

How is the height of a hemisphere equal to its radius? - Quora

Volume of a sphere: Formula

Greek philosopher Archimedes discovered The formula for the Volume of a sphere over two thousand years ago. He was the first person to state and prove that the volume of a sphere is exactly two thirds the volume of its circumscribed cylinder, which is the smallest cylinder that can contain the sphere. The spherical object is placed inside a solid container where the radius of the spherical object is equal to the radius of the circular bases of the cylinder. The Diameter of a sphere is equal to the height of the cylinder.

Click here for Free Latest Pattern Questions of 
Get free notes of Maths
Click here for SSC CGL Tier 2 Study material

Volume Of Sphere

Volume of a sphere= 2/3 volume of a Cylinder

Volume of a Sphere = 2/3 (πr2h); where r is the radius and h is the height of the cylinder

Now we know that height of cylinder= diameter of the sphere


Volume of a Sphere=  2/3 (πr2.2r); Diameter= 2x Radius

Volume of a Sphere= 4/3(πr3)

Volume of a sphere: Example

Q. Radius of a sphere is 11cm. Calculate its volume

Solution: We are given the radius of the sphere= 11cm

We know that Volume of Sphere= 4/3(πr3)

Volume of sphere= 4/3 (3.14×113)

Volume of sphere= 5572.45 cm3

Click here for more Maths Study Notes

You may also like to read:



Sign Up
Forgot Password
Enter the email address associated with your account, and we'll email you an OTP to verify it's you.

Reset Password
Please enter the OTP sent to