To calculate the volume of a cylinder, we use the formula:
\(\[ V = πr^2h \]\)
where:
- \(\( V \)\) is the volume,
- \(\( π \)\) (pi) is approximately 3.14,
- \(\( r \)\) is the radius of the base of the cylinder,
- \(\( h \)\) is the height of the cylinder.
Given:
- The height \(\( h = 13 \)\) meters,
- The radius \(\( r = 19 \)\) meters,
- \(\( π ≈ 3.14 \)\).
Now, let's calculate the volume step by step.
1. First, calculate the square of the radius:
\(\[ r^2 = 19^2 = 361 \]\)
2. Next, multiply this value by \(\( π \)\):
\(\[ πr^2 = 3.14 \times 361 \]\)
Perform the multiplication:
\(\[ 3.14 \times 361 ≈ 1133.54 \]\)
3. Finally, multiply this result by the height of the cylinder:
\(\[ V = 1133.54 \times 13 \]\)
Perform the multiplication:
\(\[ 1133.54 \times 13 ≈ 14736.02 \]\)
So, the volume of the cylinder, rounded to the nearest hundredth, is approximately:
\(\[ V ≈ 14736.02 \text{ cubic meters} \]\)
