A hollow metallic spherical shell has internal radius 3 cm and external radius 5 cm. It is melted and recast into a solid cone of base radius 7 cm. Find the height of the cone in cm.

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Accepted Answer

8. Volume of the shell = (4/3)π(5³ − 3³) = (4/3)π(125 − 27) = 392π/3 cm³. For the cone, (1/3)π × 49 × h = 392π/3, so 49h = 392 and h = 8 cm.

A hollow metallic spherical shell has internal radius 3 cm and external radius 5 cm. It is melted and recast into a solid cone of base radius 7 cm. Find the height of the cone in cm.

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