Exams › SSC CGL (Prelims) › General

A spherical shell has an external radius of 6 cm and an internal radius of 3 cm. What is the volume of the material forming the shell?

1. 252pi cm^3
2. 356pi cm^3
3. 144pi cm^3
4. 175pi cm^3

Correct answer: 252pi cm^3

Solution

The volume of a hollow sphere is (4/3)pi(R^3 - r^3). With R = 6 cm and r = 3 cm: (4/3)pi(216 - 27) = (4/3)pi x 189 = 252pi cm^3.

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