To find the volume of a cylinder, we use the formula:
[tex]\[
\text{Volume} = \pi \cdot r^2 \cdot h
\][/tex]
where:
- [tex]\(\pi\)[/tex] (pi) is approximately 3.14,
- [tex]\(r\)[/tex] (the radius) is 3 cm,
- [tex]\(h\)[/tex] (the height) is 10 cm.
Let's substitute these values into the formula step-by-step.
1. Calculate [tex]\( r^2 \)[/tex]:
[tex]\[
r^2 = 3^2 = 9
\][/tex]
2. Multiply [tex]\( r^2 \)[/tex] by [tex]\( h \)[/tex]:
[tex]\[
9 \cdot 10 = 90
\][/tex]
3. Multiply the result by [tex]\(\pi\)[/tex]:
[tex]\[
3.14 \cdot 90 = 282.6
\][/tex]
Thus, the volume of the cylinder is:
[tex]\[
282.6 \, \text{cm}^3
\][/tex]
After rounding to the nearest thousandth:
The volume remains:
[tex]\[
282.6 \, \text{cm}^3
\][/tex]
So, the volume of the pipe is [tex]\(282.6 \, \text{cm}^3\)[/tex].
