The surface area of a solid metallic sphere is 616 cm² . It is melted and recast into smaller spheres of diameter 3.5 cm. How many such spheres can be obtained?
Mensuration
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Question

The surface area of a solid metallic sphere is 616 cm2 . It is melted and recast into smaller spheres of diameter 3.5 cm. How many such spheres can be obtained?

KnowledgeBoat · Accepted Answer

Surface area of a metallic sphere = 616 cm2 Let the radius of this sphere be R cm. ∴ 4πR2 = 616 Given, Big sphere is melted and recast into smaller spheres of diameter 3.5 cm. Radius, r = = 1.75 cm Let the number of smaller spheres formed be n. Volume of big sphere = n × Volume of each small sphere Hence, 64 small spheres can be formed.

Mathematics

The surface area of a solid metallic sphere is 616 cm² . It is melted and recast into smaller spheres of diameter 3.5 cm. How many such spheres can be obtained?

Mensuration

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