Question

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

Answer 1

for small sphere
diameter=0.6cm
r=0.6/2=0.3cm
for big sphere
r=3cm
volume of small sphere=volume of big sphere
4/3*22/7*0.3*0.3*0.3=4/3*22/7*3*3*3
on solving 
No. of balls=1000

Answer 2

Let the number of balls be n

Diameter of small spherical balls = 0.6 cm

So, Radius of small spherical balls = 0.6/2 = 0.3 cm

Now, the Radius of solid sphere = 3 cm

Now, the volume of small spherical balls = 4/3πr^3

= 4/3*22/7*0.3*0.3*0.3

Now the volume of solid sphere = 4/3πr^3

=4/3*22/7*3*3*3

We know that the n = volume of solid ball/volume of small ball

Therefore, n = (4/3*22/7*3*3*3) / (4/3*22/7*0.3*0.3*0.3)

n = 3*3*3/0.3*0.3*0.3

n = 27/0.027

n = 1000

Hope the answer is helpful !!

Good Day !!