The volume of the container is:
2880 cm^3
In order to find the volume of the container we need to find the volume of the cylinder and volume of two half spheres.
i.e.
Volume of container=Volume of cylinder+Volume of two half spheres.
We know that the volume of cylinder is given by:
[tex]\text{Volume\ of\ cylinder}=\pi r^2h[/tex]
where h is the height of the cylinder and r denote the radius of the cylinder.
Also, volume of 1 half sphere is given by:
[tex]\text{Volume\ of\ half\ sphere}=\dfrac{2}{3}\pi r^3[/tex]
where r is the radius of half sphere.
Hence, Volume of 2 half spheres is:
[tex]\text{Volume\ of\ two\ half\ sphere}=\dfrac{4}{3}\pi r^3[/tex]
Hence,
[tex]\text{Volume\ of\ container}=\pi r^2h+\dfrac{4}{3}\pi r^3[/tex]
From the given information in the question we have:
[tex]r=5\ cm\\\\h=30\ cm\\\\We\ use\ \pi=3.14[/tex]
Hence, by putting these values in the expression (1) and solving we get:
[tex]\text{Volume\ of\ container}=2879.7932\ cm^3[/tex]
which on rounding off gives:
2880 cm^3
