Question

A metallic sphere of radius 3 cm is melted and then cast into small spherical balls of diameter 0.6 cm. find the number of balls obtained

Answer 1

This is ur ans. Hope this will help you

Answer 2

pi*r^3=volume of sphere
pi*27 =volume of larger sphere
pi*r^3
pi*.6^3

27/.6^3=125 balls 
another way is 
3/.6=5
5^3=125 volume of sphere is 4/3 * pi * r^3. 

r = 3 cm 

volume of sphere is 4/3 * pi * (3)^3 = 4/3 * 27 * pi = 4*9 * pi = 36 * pi cubic cm. 

each small spherical ball has a diameter of .6 cm. 

this means that each small spherical ball has a radius of .3 cm because radius = diameter / 2. 

volume of each small spherical ball is equal to 4/3 * pi * r^2. 

since r = .3, then volume of each small spherical ball is equal to 4/3 * pi * (.3)^3 = 4/3 * pi * .027 = .036 * pi cubic cm. 
divide 36 * pi by .036 * pi and you get: 

36 * pi / .036 * pi = 36 / .036 = 1000 

you can make 1000 small spherical balls out of the one big spherical ball. 

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