Question

A solid consist of circular ciyender with an exact fitting right circular cone placed on the top. The height of cone is 'h'. If the total volume of the solid is three times the volume of the cone, then find the height of cylinder. { Answer is 2h/3}

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Answer 1

Answer:

2h/3

Step-by-step explanation:

Volume of cone +volume of cylinder=Total Volume of solid

whereas

Total Volume of a solid =3 * volume of a cone

therefore,

Volume of cone + volume of cylinder = 3* volume of a cone..

1/3 π r² + πr²H= 3*1/3πr²h

πr²H=πr²h-1/3 πr²h

πr²H=2πr²h/3

H=2h/3