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Question

If a cone of radius 15 cm and height 60 cm is melted and recast to form a sphere, then radius of sphere = 
  1. 15 cm
  2. 10 cm
  3. 16 cm
  4. 12 cm


Solution

The correct option is A 15 cm
Given: Radius of the cone, r=15 cm
Height of the cone =60 cm

Let the radius of sphere be R.
Since the cone is melted and moulded to form a sphere, the volume of sphere will be equal to volume of cone.

 43πR3=13πr2h4R3=15 × 15 × 60R3=153R=15 cm
Radius of the sphere is 15 cm.

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