A solid metallic sphere of radius 6 cm is melted and recast into a cone whose base radius is 6 cm. What is the height of the cone?

A. 18 cm

B. 8 cm

C. 24 cm

D. 12 cm

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

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Answer: C. 24 cm

Answer: (C) 24 cm

Volumes are equal: \(\frac{4}{3}\pi (6)^3 = \frac{1}{3}\pi (6)^2 h \Rightarrow h = \frac{4 \times 216}{36} = 24\) cm.

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

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