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.

**The volume of a sphere: Definition**

A **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.

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

**Volume of a Sphere** = 2/3 (πr^{2}h); **where r is the radius and h is the height of the cylinder**

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

Therefore,

**Volume of a Sphere**= 2/3 (πr^{2}.2r); **Diameter= 2x Radius**

**Volume of a Sphere= 4/3(πr ^{3})**

**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(πr^{3})

Volume of sphere= 4/3 (3.14×11^{3})

**Volume of sphere= 5572.45 cm ^{3}**

**Click here for more Maths Study Notes**

**You may also like to read:**

**What is PM Garib Kalyan Yojana? Know The Details****Finance Minister Nirmala Sitharaman Addressed The Press: Check Highlights****List Of Government Exams Postponed Due To Coronavirus****Coronavirus Questions: Know Everything About Coronavirus****First Made-in-India COVID-19 Test Kit by Mylab Gets Commercial Approval**