Find the volume of the composite space figure to the nearest whole number.

Given:The composite figure consists of a rectangle and a hemisphere.The length of the rectangle is 11 mm.The width of the rectangle is 9 mm.The height of the rectangle is 6 mm.We need to determine the volume of the composite figure.Volume of the rectangle:The volume of the rectangle can be determined using the formula,[tex]V=length \times width \times height[/tex]Substituting the values, we get;[tex]V=11 \times 9 \times 6[/tex][tex]V=594 \ mm^3[/tex]Thus, the volume of the rectangle is 594 mm³Volume of the half of the cylinder:The volume of the half of the cylinder is given by the formula,[tex]V=\frac{\pi r^2 h}{2}[/tex]Radius of the cylinder = [tex]\frac{9}{2}=4.5[/tex]Height of the cylinder = 11 mmSubstituting the values, we get;[tex]V=\frac{(3.14)(4.5)^2(11)}{2}[/tex][tex]V=\frac{699.435}{2}[/tex][tex]V=349.72[/tex]Thus,the volume of the half of the cylinder is 349.72 mm³Volume of the composite figure:The volume of the composite figure can be determined by adding the volume of the rectangle and the volume of the half of the cylinder.Thus, we have;Volume = Volume of rectangle + Volume of half of the cylinderSubstituting the values, we get;[tex]Volume = 594+349.72[/tex][tex]Volume = 943.72[/tex]Rounding off to the nearest whole number, we get;[tex]Volume = 944 \ mm^3[/tex]Thus, the volume of the composite figure is 944 mm³Hence, Option d is the correct answer.