Chapter 12.4, Problem 2BCYP

To determine

To find:

The volume of the cylinder.

Answer to Problem 2BCYP

The volume of the cylinder is $\text{9609}{\text{.6 cm}}^3$ .

Explanation of Solution

Given information:

  

Calculation:

From the given figure, $d=10\text{ cm}$ .

Assume that the height of the cylinder is $h\text{ cm}$ .

Find the height of the cylinder using Pythagorean theorem:

  $\begin{array}{c}h=\sqrt{{16}^2-{10}^2}\\ =\sqrt{256-100}\\ =\sqrt{156}\\ =12.48\end{array}$

Therefore, the height of the cylinder is $12.48\text{ cm}$ .

So, the volume of the cylinder is:

  $\begin{array}{c}V=\pi r^{2}h\\ =\pi {\left(5\right)}^2\left(12.48\right)\\ =62.4\pi \\ =9609.6{\text{ cm}}^3\end{array}$

Hence, the volume of the cylinder is $\text{9609}{\text{.6 cm}}^3$ .