Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A hollow sphere has an outer radius of 6 cm and inner radius of 3 cm. What is the volume of this hollow sphere?

Options:

252p cm3

356p cm3

144p cm3

175p cm3

Correct Answer:

252p cm3

Explanation:

We know that,

Volume of the hollow sphere = V = \(\frac{4}{3}\) ×  π × (R- r3)

We have,

Outer radius (R) = 6 cm

Inner radius (r) = 3 cm

= \(\frac{4}{3}\) × π × (63- 33)

=\(\frac{4}{3}\) × p  × (216 - 27) 

=\(\frac{4}{3}\) × ​p  ​× (189)​​ = 252 p ​ cm3