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

volume of cyl.=πr²h
=22/7*9*9*4000
=1018285.71cm³
volume of sphere=4/3πr³
=4/3*22/7*3*3*3
=113.14
no. of spheres =1018285.71/113.14
=9000

Answer 2

Volume of sphere = $\frac{4}{3}$ π $r^{3}$

= $\frac{4}{3}$ * $\frac{22}{7}$ * 3 * 3 * 3

=113.14 $cm^{3}$

h = 40m = 4000cm

Volume of cylinder = π $r^{2}$ h

=1018285.71 $cm^{3}$

Number of spheres = $\frac{volume of cylinder}{volume of sphere}$

=$\frac{1018285.71}{113.14}$

= 9000 spheres.