# A Cone is 8.4 cm high and the radius of its base is 2.1cm. It is melted and recast into a sphere. Find the radius of sphere formed? Please answer the question in 24 hours(solved).

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= 1/3 × 22/7 × 2.1 × 2.1 × 8.4

= 38.808 cm³

volume of sphere = volume of cone

4/3πr³ = 38.808

r³ = 9.261

r = 2.1 cm

radius, r = 2.1cm

height, h = 8.4 cm

For the sphere,

radius = R

Cone is melted and recast into sphere.

So, Volume of sphere = Volume of cone

∴ 4/3 π R³ = 1/3 π r² h

∴4 R³ = r² h

∴4 R³ = 2.1² * 8.4

∴R³ = 2.1² * 8.4 / 4

∴R³ = 2.1² * 2.1

∴R³ = 2.1³

∴

Thus, radius of the sphere is 2.1 cm.