Mensuration-12

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A cone is 8.4 dm high. The radius of its base is 2.1 dm. It is melted and
cast into a sphere. Find the radius of the sphere.

Solution: Height of the cone = 8.4 cu. dm

Radius of base = 2.1 dm

Therefore, 1/3 x π r2 h = 1/3 x 22/7 x 2.1 x 2.1 x 8.4 cu. dm

The cone is melted and formed into a sphere.

Therefore, Volume of the sphere = Volume of the cone

4/3 x π R3 = 1/3 x 22/7 x 2.1 x 2.1 x 8.4

R3 = 1/3 x 22/7 x 2.1 x 2.1 x 8.4 x 3/4 x 7/22

= 2.1 x 2.1 x 2.1

Hence, R of the sphere = 2.1 dm

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