Q7 of 70 Page 21

If a sphere of radius 2r has the same volume as that of a cone with circular base of radius r, then find the height of the cone.

Volume of a sphere = (4/3)πr3


Volume of a right circular cone = (1/3)πr2h


Given, a sphere of radius 2r has the same volume as that of a cone with circular base of radius r



⇒ h = 32r


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