Q:
A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?
Answer & Explanation
Answer: C) 1 cm
Explanation: Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)
or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.
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