Q6 of 44 Page 14

A solid metallic sphere of diameter 21 cm is melted and recast into a number of smaller cones, each of diameter 3.5 cm and height 3cm. Find the number of cones so formed.

Let the number of cones formed be n


Diameter of a metallic sphere = 21cm


So,



=


= 11 × 21 × 21


= 4851cm3


Now, Diameter of cone = 3.5cm


So,


and height = 3cm



=


cm3


According to question,


n × volume of cone = volume of sphere




⇒ n = 504


Hence, the number of cones formed = 504


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