The surface area of a solid metallic sphere is 616 cm2. It is melted and recast into a cone of height 28 cm. Find the diameter of the base of the cone so formed .

Surface area of the sphere


4πr2 = 616




r2 = 49


r = √49


r = 7 cm


Diameter of base = 7 × 2


= 14 cm


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