To calculate the volume of a cylinder, you can use the formula:
\[ V = \pi \cdot r^2 \cdot h \]
Where:
- \( V \) is the volume,
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.
Given:
- Diameter = 20 feet, so the radius \( r \) is half of the diameter: \[ r = \frac{20}{2} = 10 \text{ feet} \]
- Height \( h = 12 \) feet.
Now, plug the values into the volume formula:
\[ V = 3.14 \cdot (10)^2 \cdot 12 \]
Calculate \( (10)^2 \): \[ (10)^2 = 100 \]
Now substitute this value back into the volume formula: \[ V = 3.14 \cdot 100 \cdot 12 \]
Now perform the multiplication: \[ 100 \cdot 12 = 1200 \]
Finally, calculate the volume: \[ V = 3.14 \cdot 1200 = 3768 \text{ ft}^3 \]
So, the volume of the cylinder is \( \text{3768 ft}^3 \). Therefore, the correct answer is:
3768 ft³