Question

How many solid spheres of diameter 6 cm be cast out of a solid cylinder with radius of the base 9 cm. height 40 m ?

Answer 1

$n= \frac{volume\ of\ cylinder}{volume\ of\ sphere} \\ \\ n= \frac{ \pi r_c^2h}{(4/3) \pi r_s^3} \\ \\n= \frac{ 3 \times 9^2 \times 4000}{4 \times 3^3} \\ \\ n=\boxed{9000}$

Answer 2

N = volume of cylinder / volume of sphere N = πr^2h / 4/3πr^3 N = 3*9^2*4000/4*3^3 N = 9000 cm