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

volume of small sphere =
$\frac{4}{3} \pi \: {r}^{3}$
=
$\frac{4}{3} \pi \times 0.3 {}^{3}$
=2/3pie*0.027
volume of large =
$\frac{4}{3} \pi \: {r}^{3}$
4/3*pie*3*3*3
no of sphere=volume of original/volume of small
=
$\frac{ \frac{4}{3} \pi \: 27 }{ \frac{4}{3} \pi \times 0.027}$
=1000
hope it helps

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 !!