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A cone of the height 54 cm and radius of the base of 4 cm is made up of clay. Aditya reshapes it in the form of a sphere. The radius of the sphere will be

Solution

✅ Correct Option: 2

Volume is conserved on reshaping. Cone volume =13π(4)2(54)=288π= \dfrac{1}{3}\pi (4)^2 (54) = 288\pi. Setting 43πR3=288π\dfrac{4}{3}\pi R^3 = 288\pi gives R3=216R^3 = 216, so R=6R = 6 cm.

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