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Multiple Choice Questions

A cone and sphere have the same radius of 12 cm Find the height of the cone if the cone and sphere h...........

Quantitative Aptitude ( CCS) Mensuration 3D

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A cone and sphere have the same radius of 12 cm. Find the height of the cone if the cone and sphere have the same volume.

32cm

44cm

36cm

48cm

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Explanation:

Volume of the cone=1/3πr²h
=1/3*π*12²*h==>48 πh
Volume of the sphere=4/3 π r³
=4/3* π*12³==>2304 π
Both are equal then
2304 π=48 πh
h= 2304/48=48cm.

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