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Question

The base radius and height of a right circular solid cone is 12 cm and 24 cm respectively. It is melted and recast into spheres of diameter 6 cm each. Find the numbers of spheres so formed.

A
64
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B
32
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C
16
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D
20
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Solution

The correct option is B 32
Volume of the cone =13π(12)2×24=1152π cm3
Radius of each spherical ball
=62=3cm
Volume of spherical ball
= 43πr3 = 43π(3)3
Number of spherical balls
=3×1152π4π(3)3=32

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