A cone is 8.4 cm high and the radius of it's base is 2.1 cm . It is melted and recast into a sphere . Find the radius of the sphere
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Volume of cone = Volume of sphere
1 / 3π(2.1)2 × 8.4 = 4 / 3 πr3
⇒ r3 = (2.1)2 × 8.4 / 4 = (2.1)3
⇒ r = 2.1 cm
∴ Radius of the sphere = 2.1 cm
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