To calculate the volume of a cylinder, we can use the formula:
\[ V = \pi \cdot r^2 \cdot h \]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately \( 3.14 \).
Given:
- The diameter of the cylinder is 20 feet, so the radius \( r \) is half of that:
\[ r = \frac{20}{2} = 10 \text{ feet} \] - The height \( h \) is 12 feet.
Substituting the values into the formula:
\[ V = 3.14 \cdot (10)^2 \cdot 12 \]
Calculating \( (10)^2 \):
\[ (10)^2 = 100 \]
Now substitute that back into the volume equation:
\[ V = 3.14 \cdot 100 \cdot 12 \]
Calculating \( 100 \cdot 12 \):
\[ 100 \cdot 12 = 1200 \]
Now substitute that back into the equation:
\[ V = 3.14 \cdot 1200 \]
Calculating \( 3.14 \cdot 1200 \):
\[ V = 3768 \text{ ft}^3 \]
Thus, the volume of the cylinder is:
3768 ft³.