Question

A right circular cine of height 81cm & radius of base 16 cm is melted and recast into a right circular cylinder of height 48cm. find the radius of the base of the cylinder.

any math student help me plz​

Answer 1

Answer:

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

πR

2

h

⇒4×r

3

=5×5×20

⇒r

3

=5×5×5

⇒r=5 cm

Answer 2

hope it's helpful for you