Question

a solid metal sphere of radius 4 cm is melted to form several small solid spherical pellets how many such pellets can be formed if the diameter of each pellet must be 2 cm​

Answer 1

Answer:

Correct option is

A

32

Number of balls made =

Volume of each spherical ball

Volume of cone

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

As the diameter of the ball is 6 cm, its radius r =3 cm

∴ number of balls made =

3

4

π×3

3

3

1

π×12

2

×24

=32

thank you