The outer radius of a spherical shell is 13 cm and the thickness of the shell is 3 cm. What is the volume of the metal used for the shell? (π = \(\frac{22}{7}\))

Question

Question

This question was previously asked in

SSC MTS (2022) Official Paper (Held On: 11 May, 2023 Shift 1)

Answer 1

Given :

Outer radius of a spherical shell is 13 cm and the thickness of the shell is 3 cm.

Formula Used :

Volume of sphere = 4/3πr³

Calculation :

Volume of the metal used = Voulme of outer surface - Volume of inner surface

⇒ 4/3π[13³ - 10³]

⇒ 4/3π[2197 - 1000]

⇒ 4/3π[1197]

⇒ 4/3 × 22/7 × 1197

⇒ 4/3 × 22 × 171

⇒ 4 × 22 × 57

⇒ 5016 cm³

∴ The correct answer is 5016 cm³.

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