The radius of a sphere is 2r, then its volume will be
a. 4/3 πr³
b. 4πr³
c. 32/3 πr³
d. 8/3 πr³

Solution:

Given, the radius of the sphere is 2r.

We have to find the volume of the sphere

Volume of the sphere = 4/3 πr³

Where, r is the radius of the sphere

Given, r = 2r

Volume = 4/3 π(2r)³

= 4/3 π(8r³)

= 32πr³/3 cubic units

Therefore, the volume will be 32πr³/3 cubic units

✦ Try This: The radius of a sphere is halved, then its volume will be

Given, the radius of the sphere is halved.

We have to find the volume of the sphere

Volume of the sphere = 4/3 πr³

Where, r is the radius of the sphere

Given, r = r/2

Volume = 4/3 π(r/2)³

= 4/3 π(r³/8)

= πr³/6 cubic units

Therefore, the volume will be πr³/6 cubic units

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13

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NCERT Exemplar Class 9 Maths Exercise 13.1 Problem 1

The radius of a sphere is 2r, then its volume will be a. 4/3 πr³, b. 4πr³, c. 32/3 πr³, d. 8/3 πr³

Summary:

The radius of a sphere is 2r, then its volume will be 32πr³/3 cubic units

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