A solid metallic sphere of radius 6 cm is melted and recast into a solid cylinder of radius 4 cm. Find the height of the cylinder.

Q.3 (B)(3) A solid metallic sphere of radius 6 cm is melted and recast into a solid cylinder of radius 4 cm. Find the height of the cylinder.

Doubtly AI Asked 27 Oct 2026 AI-generated · not yet verified ssc 10th Save WhatsApp Report

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Answer: Height of the cylinder = 18 cm

Volume of metal does not change on recasting.

Volume of sphere \(= \dfrac{4}{3}\pi r^3 = \dfrac{4}{3}\pi (6)^3 = 288\pi\) cm³.

Volume of cylinder \(= \pi R^2 h = \pi (4)^2 h = 16\pi h\).

\(16\pi h = 288\pi \Rightarrow h = \dfrac{288}{16} = 18\) cm.

Doubtly AI · 27 Oct 2026 AI-generated · not yet verified Report

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