Question

A cone of height 20 cm. and radius 5 cm. is melted and re-casted to form a sphere. Find

the diameter of the sphere.​

Answer 1

Answer:

diameter=5/2

Step-by-step explanation:

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

r=2*diameter

5=2d

d=5/2

hope it helps you