Question

A right circular metallic cone of height
20cm and base radius 5cm is melted and
recast into solid sphere Find the radius
of the sphere​

Answer 1

As the cone is melted and recasted in to a sphere, Volume of the cone and sphere are equal.

Volume of a cone =

1/2πr2 h

Volume of a sphere of radius 'r' =

3/4 πr 3

Hence, volume of sphere = Volume of the cone

Therefore

3/4πr 3 = 1/3 πR 2h

Answer 2

Answer:

Volume of cone = Volume of sphere

Volume of cone = πr²h

= π×5²×20

= 500 π cm³

So, volume of sphere is also 500 π cm³.

=》 4/3 π r³ = 500 π

=》 r³=1500/4

=》 r³ = 375

=》 r= ³√375

=》 r = 7.21 cm

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