#### 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