Question

A circular metallic cone radius of the base 5 cm and height 20 cm is metal to form a sphere find the radius of 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 =

3

1

πr

2

h, where r is the radius of the base of the cone and h is the height.

Volume of a sphere of radius 'r' =

3

4

πr

3

Hence, volume of sphere = Volume of the cone

Therefore,

3

4

πr

3

3

1

2

h

⇒4×r

3

=5×5×20

⇒r

3

=5×5×5

⇒r=5 cm