A solid metallic hemisphere of radius 7 cm is melted and recast into a cone of base radius 7 cm. Find the height of the cone.
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Correct answer: D
Explanation
Radius of the hemisphere = 7 cm
Base radius of the cone = 7 cm
Volume of the hemisphere = (2/3)πr³
Volume of the cone = (1/3)πr²h
(2/3)π(7)³ = (1/3)π(7)²h
2 × 343 = 49h
686 = 49h
h = 14 cm