Chapter 12.4, Problem 19PPS

To determine

To find:

The volume of the cylinder.

Answer to Problem 19PPS

The volume of the cylinder is $\text{2687}{\text{.4 mm}}^3$ .

Explanation of Solution

Given information:

  

Calculation:

From the given figure $r=7.5$ and $h=15.2$ .

If two solids have the same height and the same cross-sectional area at every level then they have the same volume. So, the volume of a right prism and an oblique one of the same height and cross-sectional area are same.

Volume of the cylinder is:

  $V=\pi r^{2}h$

Substitute $r=7.5$ and $h=15.2$ in the above formula:

  $\begin{array}{c}V=\pi {\left(7.5\right)}^{2}15.2\\ =\pi \left(56.25\right)15.2\\ =855\pi \\ \approx 2687.4{\text{ mm}}^3\end{array}$

Hence the volume of the cylinder is $\text{2687}{\text{.4 mm}}^3$ .