To find the volume of a cylinder, you can use the formula:
[tex]\[ V = \pi r^2 h \][/tex]
where:
- [tex]\( V \)[/tex] is the volume of the cylinder
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14
- [tex]\( r \)[/tex] is the radius of the cylinder's base
- [tex]\( h \)[/tex] is the height of the cylinder
In this case, you are given:
- radius [tex]\( r = 11 \)[/tex] meters
- height [tex]\( h = 16 \)[/tex] meters
Now let's go through the steps to calculate the volume:
1. Square the radius:
[tex]\[
r^2 = 11^2 = 121
\][/tex]
2. Multiply the squared radius by pi ([tex]\(\pi\)[/tex]):
[tex]\[
\pi \times 121 \approx 3.14 \times 121 = 379.94
\][/tex]
3. Multiply the result by the height (h):
[tex]\[
V \approx 379.94 \times 16 = 6079.04
\][/tex]
So, the volume of the cylinder is approximately [tex]\( 6079.04 \)[/tex] cubic meters.
Finally, round this value to the nearest hundredth (but in this case, it is already accurate to two decimal places).
Thus, the volume of the cylinder is:
[tex]\[ 6079.04 \text{ cubic meters} \][/tex]
