Q5 of 79 Page 244

Using clay, a student made a right circular cone of height 48 cm and base radius 12 cm. Another student reshapes it in the form of a sphere. Find the radius of the sphere.

Given, height of cone(h) = 48 cm


Base radius(r) = 12 cm


Volume of cone = r2h


= 121248


= 2304


We know,


Volume of sphere = r3


To find radius of sphere,


r3 = 2304


⇒ r3 = 2304


⇒ r3 = 5763


⇒ r3 = 1728


⇒ r = 12 cm


Radius of the sphere is 12 cm.


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