Question

a solid metal cone with radius of base 12 centimetre and height 24 cm is melted to form solid spherical ball of diameter 6 cm each find the number of balls formed?​

Answer 1

No.of spheres=(volume of cone/volume of sphere)

=1/3πr^2h/4/3πr^3 =(1/3*22/7*12*12*24)/(4/3*22/7*6*6*6)

=4 spheres

Answer 2

Answer:

32

Step-by-step explanation:

Let the number of balls formed are n

As per the statement,

Volume of metal cone = Total volume of n spherical balls

Volume of cone = n(Volume of any spherical ball)

1/3 π r² h = n (4/3 π r³)

12² x 24 = n x 108

n = 32

Therefore, 32 spherical balls can be formed.