Question

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

Answer 1

radius of sperical small ball= 0.6/2 = 0.3 cm
volume of small sperical bolls= 4/3 * pi* r^3
= 4/3*pi*( 0.3)^3
=0.036* pi
radius of solid sphere = 3cm
volume of solid sphere= 4/3* pi * r^3
= 4/3*pi* (3)^3
= 36 * pi
no of cones =
volume of solid sphere / volume of small sperical ball
= 36*pi / 0.036* pi
= 1000
therefore no of cones = 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 !!