Chapter 11, Problem 23CCSR

To determine

Find the volume of the Cylinder.

Answer to Problem 23CCSR

The volume of the cylinder is $\text{565}\text{.2 cu cm}\text{.}$

Explanation of Solution

Given:

A cylinder has a height of 20 cm and a diameter of 6 cm. What is the volume, in cubic centimeters, of the cylinder? Use 3.14 for $\text{π}$

Concept Used:

Volume of the cylinder: $\text{V}\text{= π}·{(\text{radius})}^2·\text{height}$ where $\text{Radius}=\frac{1}{2}·\text{diameter}$

Calculation:

Volume of the cylinder: $\text{V}\text{= π}·{(\text{radius})}^2·\text{height}$ where $\text{Radius}=\frac{1}{2}·\text{diameter}$

  $\text{Radius}=\frac{1}{2}·\text{diameter}\text{=}\frac{1}{2}·6=3\text{cm}$

  $\begin{array}{l}\text{Radius}=3\text{cm};\text{Height}\text{=}\text{20}\text{cm;}\text{π}=3.14;\text{Find}\text{V}\\ $ \text{V}\text{= π}·{(\text{radius})}^2·\text{height}$$ \text{V}\text{= 3}\text{.14}·{(\text{3})}^2·\text{20}\text{=}565.2\text{cu}\text{cm}$\text{Volume = 565}\text{.2 cu cm}\text{.}\end{array}$

Thus, volume of the cylinder is $\text{565}\text{.2 cu cm}\text{.}$