A solid cylinder of brass 9 m high and 4 m in diameter is melted and recast into a cone of diameter ...........

Quantitative Aptitude ( CCS) Mensuration 3D

A solid cylinder of brass 9 m high and 4 m in diameter is melted and recast into a cone of diameter 3 m. Find the height of the cone.

48 m

46 m

45 m

52 m

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Explanation:

Given that, height of cylinder (h) = 9 m and diameter of cylinder = 4 m
∴ radius of cylinder (r) = 2 m
And, diameter of cone = 3 m
∴ radius of cone (R) = 1.5 m
Let height of cone = H
Note : When an object is melted and given a different shape, the volumes of both the objects (of two different shapes) remain equal.
Volume of cylinder = Volume of cone