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

Explanation

According to question , the child reshapes cone with a sphere.

So, the volume of sphere=Volume of cone.

Height of coneh =24 {~cm} and radius of cone =r=6 {~cm}



`Rightarrow frac{4}{3} pi {r}^{3}=frac{1}{3} pi {r}^{2} {~h} `

`Rightarrow frac{4}{3} {r}^{3}=frac{1}{3} times 66^{2} times 24`


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