Chapter 12.4, Problem 6CYU

To determine

To find:

The volume of cylinder.

Answer to Problem 6CYU

The volume of cylinder is $\text{1357}{\text{.2 m}}^3$ .

Explanation of Solution

Given information:

  

Calculation:

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 cylinder and an oblique one of same height and cross-sectional area are same.

  $\begin{array}{c}V=Bh\\ =\pi r^{2}h\\ =\pi {\left(6\right)}^2\left(12\right)\\ =\pi \left(36\right)\left(12\right)\\ =432\pi \\ \approx \text{1357}{\text{.2 m}}^3\end{array}$

Hence, the volume of cylinder is $\text{1357}{\text{.2 m}}^3$ .