The volume of the composite space figure is 768 cubic mm.
what is the volume of the cuboid and semi-cylinder?
volume of a cube= length*breadth*height
volume of a semi-cylinder = 0.5*[tex]\pi r^{2} h[/tex], with radius r and height h
the lower portion of the given figure is a cuboid while the upper portion of the given figure is a semi-cylinder, sliced parallel to its height.
the volume of the lower portion:
length*breadth*height
the volume of the lower portion = 5*11*6 = 330 cubic mm
the volume of the upper portion:
half of the volume of a cylinder with height 11 and diameter 5
the volume of the upper portion= 1/2* π * [tex]r^{2}[/tex] * h = 1/2*π * [tex]2.5^{2}[/tex]*11
volume of the upper portion = 108(approx.)
total volume = 660+108 = 768 cubic mm
therefore, the volume of the composite space is 768 cubic mm
to get more about, the volume of different solids refer to the link,
https://brainly.com/question/1355179
