Chapter SH, Problem 11.7E

To determine

Find the volume of the given cylinder.

Answer to Problem 11.7E

The volume of the given cylinder is $35{\text{2 cm}}^3$ .

Explanation of Solution

Given:

The given cylinder is

  

Calculation:

Volume of the cylinder $=\pi r^{2}h$

  $\begin{array}{l}r=\text{radius}\\ h=\text{height}\end{array}$

In the given figure

  $r=\text{radius}=4$ cm

  $h=\text{height}=7$ cm

  $\begin{array}{l}\text{Volume}=\frac{22}{7}\times {\left(4\text{cm}\right)}^2\times 7\text{cm}\\ =\text{22}\times {\text{16 cm}}^3\\ =35{\text{2 cm}}^3\end{array}$

Hence the volume of the given cylinder is $35{\text{2 cm}}^3$ .