Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A hollow sphere has an outer radius of 4 cm and inner radius of 1 cm. What is the volume of this hollow sphere?

Options:

84p cm3

68p cm3

48p cm3

92p cm3

Correct Answer:

84p cm3

Explanation:

We know that,

Volume of hollow sphere = \(\frac{4}{3}\) π(R3 - r3)

We have,

Outer radius (R) = 4 cm.

Inner radius (r) = 1 cm.

Volume of hollow sphere = \(\frac{4}{3}\) p × (43 - 13)

= \(\frac{4}{3}\) p × (64 - 1)

= \(\frac{4}{3}\) p × 63 = 84p