Chapter 0.9, Problem 17E

To determine

The volume of cylinder.

Answer to Problem 17E

The volume of cylinder $\text{V=2769}{\text{.5cm}}^{\text{3}}$ .

Explanation of Solution

Given :

r = d/2 = 14/2 = 7 in

h = 18 in

Caclulation:

Volume of cylinder:

  $\begin{array}{l}{\text{V= πr}}^{\text{2}}\text{h}\\ \text{here,}\\ \text{V=}\text{}\text{}\text{}\text{volume}\\ \text{r = radius}\text{of}\text{cylinder}\\ \text{h}\text{=}\text{height}\text{of}\text{cylinder}\end{array}$

So,

Volume:

  $\begin{array}{l}{\text{V=πr}}^{\text{2}}\text{h}\\ \text{V=π}{\left(\text{7}\right)}^{\text{2}}\left(\text{18}\right)\\ \text{V=3}\text{.14}\left(\text{49}\right)\left(\text{18}\right)\\ \text{V=2769}{\text{.48cm}}^{\text{3}}\\ \text{V=2769}{\text{.5cm}}^{\text{3}}\end{array}$

Therefore, the volume of cylinder is $\text{V=2769}{\text{.5cm}}^{\text{3}}$ .