Question

A metalic solid cone is melted to form a solid cylinder of equal radius. If the height of the cylinder is 6 cm, then the height of the cone was
(a)10 cm
(b)12 cm
(c)18 cm
(d)24 cm

Answer 1

Answer:

The height of the Cone is 18 cm

Among the given options option (c) 18 cm is the correct answer.

Step-by-step explanation:

Given :  

Radius of solid cone = Radius of solid cylinder = r  

Height of the Cylinder , h = 6 cm

Let the height of the Cone be ‘H’ cm.

Volume of cone = Volume of Cylinder

[Cone is melted to form a solid cylinder]

⅓ πr²H = πr²h

⅓H = h

⅓H = 6  

H = 3 × 6  

H = 18 cm

Height of the Cone = 18 cm

Hence, the height of the Cone is 18 cm

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