A solid consists of a circular cylinder with an exact fitting right circular cone placed at the top. The height of the cone is `h` . If the total volume of the solid is 3 times the volume of the cone, then the height of the circular cylinder is `2h` (b) `(2h)/3` (c) `(3h)/2` (d) `4h`

Explanation

We have , Total volume of the solid `=3 times` Volume of cone

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Rightarrow `Volume of cylinder + Volume of cone `=3 times` Volume of cone

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Rightarrow pi r^{2} H+frac{1}{3} pi r^{2} {~h}=3(frac{1}{3} pi r^{2} h)`

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Rightarrow H+frac{1}{3} h=h`

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