Q9 of 227 Page 897

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 3 cm. Find the number of cones so formed.

Given,


Diameter of the sphere = 21 cm


Diameter of the cone = 3.5 cm = cm


Height of the cone = 3 cm


So here we have,


Radius of the sphere = 10.5 cm


Radius of the cone = 1.75 cm


Volume of the sphere = πr3


=


Volume of the cone =


No of cones =





= 504


So,


504 numbers of cones are formed.


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