Question

Small spherical balls, each of diameter 0.6cm,are formed by melting a solid sphere of radius 3cm.find the number of balls thus obtained

Answer 1

The volume of the big sphere is
4/3 × 22/7 × (3.0)^3

and the volume of the little sphere is

4/3π × 22/7 × (0.6)^3
The big sphere has a radius which is

3.0/0.6 = 5 times bigger than the little spheres

So with a ratio of 5 : 1 in radii there must be a 5^3 : 1 ratio in volume
staright way , we get the anwer as 125 .....
hope it helps u

Answer 2

Answer:

Let the radius of solid sphere be r₁ and for spherical ball be r₂ .

Now :

Number of ball = Volume of solid sphere / volume of spherical ball .

= 4 / 3 π r₁³ / 4 / 3 π r₂³

= 4 / 3 π × 3 × 3 × 3 / 4 / 3 π × 0.3 × 0.3 × 0.3

=  3 × 3 × 3 / 0.3 × 0.3 × 0.3

= 1000 .

Therefore , Number of balls is 1000 .