A metallic sphere of radius 10.5 cm is melted and then recast into small cones each of radius 3.5 cm and height 3 cm Find the number of cones thus formed
A
216
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B
621$
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C
162
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D
126
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Solution
The correct option is D126 Volume of sphere melted=43πR3=43π×10.53 Volume of each cone formed = 13πr2h=13π×(3.5)2×3 ∴ Number of cones obtained = VolumeofthespheremeltedVolumeofeachconeformed =(43)π×(10.5)3(13)×π×(3.5)2×3=126