Question 258342
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.