To calculate the volume \( V \) of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is a mathematical constant approximately equal to 3.14.
Given:
- Height \( h = 12 \) yards
- Radius \( r = 20 \) yards
- Using \( \pi \approx 3.14 \)
We can plug in the values into the formula:
\[ V = 3.14 \times (20)^2 \times 12 \]
First, calculate \( (20)^2 \):
\[ (20)^2 = 400 \]
Now substitute \( 400 \) back into the volume formula:
\[ V = 3.14 \times 400 \times 12 \]
Next, calculate \( 400 \times 12 \):
\[ 400 \times 12 = 4800 \]
Now calculate the volume:
\[ V = 3.14 \times 4800 \]
Perform the multiplication:
\[ V = 15072 \]
Finally, we will round the answer to the nearest hundredth. Since the answer is a whole number, the volume of the cylinder is:
\[ V \approx 15072.00 \text{ cubic yards} \]
So the volume of the cylinder is approximately 15072.00 cubic yards.
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