Given:
The radius of the figure is 5 mm
The height of the cylinder is 9 mm.
Volume of the composite figure is made of two half spheres and a cylinder.
We need to determine the volume of the composite figure.
Volume of a cylinder:
Volume of a cylinder is given by
[tex]V=\pi r^2h[/tex]
Substituting r= 5, h = 9, we get;
[tex]V=(3.14) (5)^2(9)[/tex]
[tex]V=706.5[/tex]
Thus, the volume of the cylinder is 706.5 mm³
Volume of the hemisphere:
Volume of the hemisphere is given by
[tex]V=\frac{2}{3} \pi r^3[/tex]
Substituting r = 5, we get;
[tex]V=\frac{2}{3} \pi (5)^3[/tex]
[tex]V=261.67[/tex]
Thus, the volume of the hemisphere is 261.67 mm³
Volume of the composite figure:
The volume of the composite figure can be determined by adding the volume of the cylinder and 2 hemispheres.
Thus, we have;
[tex]V= 706.5+261.67+261.67[/tex]
[tex]V=1229.84[/tex]
Thus, the volume of the composite figure is 1229.84 mm³
