Q14 of 189 Page 508

A sphere of diameter 15.6 cm is melted and cast into a right circular cone of height 31.2 cm. Find the diameter of the base of the cone.

Given,


When we convert any object into another shape the volume will remain same.


Radius of sphere =


Radius of cone = r cm


Volume of sphere = volume of cone






r2 = 60.84


r = 7.8cm


d = 2 × r = 2 × 7.8 =15.6 cm


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