a solid right circular cone of radius 4cm and height 7cm is melted to form a sphere.Find the radius of the sphere.
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The Volume of cone = Volume of sphere
1/3πr²h = 4/3πr³
. Volume of cone = 1/3*22/7*4*4*7
= 352/3
= 117.33333
Volume of sphere = 4/3πr³
. 117.33333 = 4/3*22/7*r³
. 117.33333*21 = 88r³
. 2463.99993 = 88r³
. r³ = 2463.99993/88
. r³ = 27.9999
. r = ∛27.9999
. r = 3.0365
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