To calculate the volume of the cylinder, we use the formula:
\[ V = \pi \cdot r^2 \cdot h \]
-
Find the radius: The diameter of the cylinder is 20 feet, so the radius (r) is half of that:
\[ r = \frac{diameter}{2} = \frac{20, \text{ft}}{2} = 10, \text{ft} \]
-
Use the height (h): The height of the cylinder is given as 12 feet.
-
Substitute the values into the formula:
\[ V = 3.14 \cdot (10, \text{ft})^2 \cdot 12, \text{ft} \]
-
Calculate \( (10, \text{ft})^2 \):
\[ (10, \text{ft})^2 = 100, \text{ft}^2 \]
-
Now substitute back into the volume formula:
\[ V = 3.14 \cdot 100, \text{ft}^2 \cdot 12, \text{ft} \]
-
Multiply the components:
\[ V = 3.14 \cdot 100 \cdot 12 \]
First, calculate \( 100 \cdot 12 \):
\[ 100 \cdot 12 = 1200 \]
Now multiply by \( 3.14 \):
\[ V = 3.14 \cdot 1200 = 3768, \text{ft}^3 \]
Thus, the volume of the cylinder is 3768 ft³.