Determine the volume of the shaded region?

Answer:
volume of shaded region = 112.94 [tex]cm^{3}[/tex]
Step-by-step explanation:
Volume of a cylinder = [tex]\pi r^{2}h[/tex]
volume = 22/7 * [tex]2.5^{2}[/tex] * 14.6
volume = 286.67 [tex]cm^{3}[/tex] approx
volume of sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]
volume = [tex]\frac{4}{3} *\frac{22}{7}*2.4^{3}[/tex]
volume= 57.91 [tex]cm^{3}[/tex] approx
No, of sphere = 3
Volume of 3 sphere = 3 * 57.91
=173.73 [tex]cm^{3}[/tex]
Now , volume of shaded region = volume of cylinder - total volume of sphere
volume of shaded region = 286.67 - 173.73
=112.94 [tex]cm^{3}[/tex]