Question

Find the volume of a cylinder with a radius of 5 inches and a height of 22 inches. Use 3.14 for π
.

345.4 in3

1,727 in3

431.75 in3

690.8 in3

Answer 1

To find the volume of a cylinder, you can use the formula:

\[
V = \pi r^2 h
\]

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height. In this case, the radius \( r \) is 5 inches and the height \( h \) is 22 inches. Using \( \pi \) as 3.14, we can substitute the values into the formula:

\[
V = 3.14 \times (5 \, \text{in})^2 \times (22 \, \text{in})
\]

Calculating \( (5 \, \text{in})^2 \):

\[
(5 \, \text{in})^2 = 25 \, \text{in}^2
\]

Now substituting this back into the volume formula:

\[
V = 3.14 \times 25 \, \text{in}^2 \times 22 \, \text{in}
\]

Now calculating \( 3.14 \times 25 \):

\[
3.14 \times 25 = 78.5
\]

Now multiply this result by the height (22 inches):

\[
V = 78.5 \times 22
\]

Calculating \( 78.5 \times 22 \):

\[
78.5 \times 22 = 1,727 \, \text{in}^3
\]

Thus, the volume of the cylinder is:

\[
\boxed{1,727 \, \text{in}^3}
\]