Chapter 12.4, Problem 30PPS

To determine

To find:

The volume of the solid figure.

Answer to Problem 30PPS

The volume of the solid is about $260.5{\text{ in}}^3$ .

Explanation of Solution

Given information:

  

Calculation:

The solid is the combination of a rectangular prism and two half cylinders.

  $V=V_1+V_2$

Substitute $V_1=4\cdot 5\cdot 8$ and $V_2=2\left[\frac{1}{2}\pi {\left(2\right)}^2\left(8\right)\right]$ in the above formula:

  $\begin{array}{c}V=4\cdot 5\cdot 8+2\left[\frac{1}{2}\pi {\left(2\right)}^2\left(8\right)\right]\\ =160+32\pi \\ \approx 260.5{\text{ in}}^3\end{array}$

Hence the volume of the solid is about $260.5{\text{ in}}^3$ .