Question

a solid sphere of radius r is melted and cast in the shape of a cone of solid of height r find the radius of base of cone.

Answer 1

radius of sphere =r
height of cone =r
let radius. of cone =h
since the sphere melts and recast into cone
volume of sphere =volume of cone
4\3*22\7*r*r*r=1\3*22\7*h*h*r
h=2r

Answer 2

Radius of sphere=r and the height of cone=r
volume of sphere =volume of cone
4/3πr³=1/3πR²h
π and r will cancelled
4×r³=R²×r
4×r³/r=R²
4r²=R²
R=2r
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