Question

A solid sphere of radius 3cm is melted and then into small spherical balls of diameter 0.6 cm .Find the number of balls.

Answer 1

125 is the answer to the question

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 !!