The image consist of half of a cylinder and a rectangular prism. The following parameters that were given are;
[tex]\begin{gathered} radius(r)\text{ }of\text{ cylinder}=5\text{ }inches \\ length\text{ of prism =10 inches} \\ breadth\text{ of prism =6 inches} \\ height\text{ of prism=8 inches} \\ hight\text{ of cylinder =6 inches} \end{gathered}[/tex]
Explanation
To find the volume of the composite shape, we will combine the formula for the rectangular prism and the half cylinder.
[tex]\begin{gathered} Volume\text{ of rectangular prism = }l\times b\times h_p \\ Volume\text{ of half cylinder }=\frac{1}{2}\pi r^2h_c \end{gathered}[/tex]
Therefore, we will have;
[tex]\begin{gathered} Volume\text{ of composite shape =}lbh_p+\frac{1}{2}\pi r_^2h_c \\ Volume=(10\times6\times8)+(0.5\times\pi\times5^2\times6) \\ Volume=480+75\pi \\ Volume=480+235.61944 \\ Volume=715.61944 \end{gathered}[/tex]
Answer: 715.61944 Cubic inches
