To find the volume of a cylinder, we use the formula:
[tex]\[ V = \pi r^2 h \][/tex]
Where:
- [tex]\( V \)[/tex] is the volume of the cylinder
- [tex]\( r \)[/tex] is the radius of the base of the cylinder
- [tex]\( h \)[/tex] is the height (or length in this context) of the cylinder
- [tex]\( \pi \)[/tex] is a mathematical constant approximately equal to 3.14159
Given the values:
- Radius [tex]\( r = 17.8 \)[/tex] meters
- Length [tex]\( h = 6.4 \)[/tex] meters
Step-by-step, we proceed as follows:
1. Square the radius:
[tex]\[
r^2 = (17.8)^2 = 317.64
\][/tex]
2. Multiply the squared radius by π:
[tex]\[
\pi r^2 = \pi \times 317.64 \approx 998.507
\][/tex]
3. Multiply the result by the cylinder's length [tex]\( h \)[/tex]:
[tex]\[
V = 998.507 \times 6.4 \approx 6370.446
\][/tex]
So, the volume of the cylinder is approximately [tex]\( 6370.446 \)[/tex] cubic meters.
To give the answer to one decimal place:
4. Round 6370.446 to one decimal place:
[tex]\[
6370.4
\][/tex]
Therefore, the volume of the cylinder is [tex]\( 6370.4 \)[/tex] cubic meters when rounded to one decimal place.
