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
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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
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