Q19 of 47 Page 1

A metallic solid sphere of radius 10.5 cm is melted and recast into smaller solid cones, each of radius 3.5 cm and height 3 cm. How many cones will be made?

Let the number of cones formed be n

Radius of a metallic sphere = 10.5 cm





Now, Radius of cone = 3.5cm


and height = 3cm




According to question,


n × volume of cone = volume of the sphere





⇒ n = 12 × 10.5


⇒ n = 126


Hence, the number of cones formed = 126


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