Answer:
[tex]2713cm^3[/tex]
Step-by-step explanation:
From the given figure, the radius of the cylinder is=8cm, height of cylinder is =18cm and the radius of the sphere is= 6cm.
Thus, [tex]Volume of cylinder={\pi}r^2h[/tex]
[tex]V=3.14(8)^{2}(18)[/tex]
[tex]V=3.14(64)(18)[/tex]
[tex]V=3617.28cm^3[/tex]
And [tex]volume of sphere=\frac{4}{3}{\pi}r^3[/tex]
[tex]V=\frac{4}{3}(3.14)(6)^3[/tex]
[tex]V=\frac{4}{3}(3.14)(216)[/tex]
[tex]V=904.31cm^3[/tex]
Thus, the volume of the shaded part of the figure=Volume of cylinder-volume of sphere
⇒volume of the shaded part of the figure=[tex]3617.28-904.31[/tex]
=[tex]2712.97[/tex]
≈[tex]2713cm^3[/tex]
Thus,volume of the shaded part of the figure=[tex]2713cm^3[/tex]
