The material of a solid cone is converted into the shape of a solid cylinder of equal radius If the ...........

Quantitative Aptitude ( CCS) Mensuration 3D

The material of a solid cone is converted into the shape of a solid cylinder of equal radius. If the height of the cylinder is 5 cm, what is the height of the cone ?

15 cm

20 cm

25 cm

30 cm

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Explanation:

Given that, radius of cone = radius of cylinder = r
And, height of cylinder (h₁) = 5 cm and height of cone = h₂
Note : When an object is converted and given a different shape, the volumes of both the objects (of two different shapes) remain equal.
∴ Volume of cone = Volume of cylinder
= 1/3πr²h₂ = πr²h₁
= 1/3 × h₂ = 5
∴ h₂ = 15 cm