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=1152πcm3 Radius of each spherical ball =62=3cm Volume of spherical ball = 43πr3 = 43π(3)3 Number of spherical balls =3×1152π4π(3)3=32