A solid metallic sphere of radius 6 cm is melted down and completely recast into small, identical solid cones. Each small cone has a base radius of 2 cm and a vertical height of 3 cm. How many such cones can be formed without any wastage of metal?

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• A 24
• B 36
• C 48
• D 72

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Answer: D. 72

Volume of sphere = (4/3)π(6³) = 288π cm³.
Volume of one cone = (1/3)π(2²)(3) = 4π cm³.
Number of cones = 288π ÷ 4π = 72.

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