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Question

If a solid right circular cone of height 24cm and base radius 6cm is melted and recast in the shape of a sphere, then the radius of the sphere is

A
6cm
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B
4cm
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C
8cm
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D
12cm
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Solution

The correct option is B 6cm
Height of cone =24 cm
Base of radius =6 cm
Volume of cone =13πr2h
=13×π×(6)2×24=288πcm2
Let the radius of sphere be R cm
Volume of sphere = Volume of cone
43πR3=288πR3=288×34=216R=3216=6 cm

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