The material of a cone is converted into the shape

Question:

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

(a) 10 cm

(b) 15 cm

(c) 18 cm

(d) 24 cm

Solution:

A cone is converted into a cone.

So,

Volume of cone = Volume of cylinder

$h=15 \mathrm{~cm}$

Hence, the correct answer is choice (b).

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