A cone of height 24cm and radius of base 6cm is made up modelling clay A child moulds it in the form of sphere Find the radius of the sphere

Answers

Question :

A cone of height 24cm and radius of base 6cm is made up modelling clay. A child moulds it in the form of sphere. Find the radius of the sphere.
Submitted on 6/2/2024 | Answered by Vandana Rana

Answer :

Given that, the child reshapes cone with a sphere.

So, the volume of sphere
= Volume of cone.


 Height of cone h = 24 cm 
and radius of cone  = r = 6 cm

 
 ⇒4/3 π r³ = 1/3 π r²h

 ⇒ 4 r³ = 6×6×24

 ⇒ r³ = 6××6×6

 ⇒r = 6

 Hence, radius of the sphere = 6 cm