To find the volume of a right circular cylinder, you can use the formula:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume,
- \( r \) is the radius, and
- \( h \) is the height.
Given:
- The diameter of the cylinder is 42 m, so the radius \( r \) is half of that:
\[ r = \frac{42}{2} = 21 \text{ m} \]
- The height \( h \) is 16 m.
Using \( \pi \approx 3.14 \):
\[ V = 3.14 \times (21)^2 \times 16 \]
First, calculate \( (21)^2 \):
\[ (21)^2 = 441 \]
Now plug this back into the volume formula:
\[ V = 3.14 \times 441 \times 16 \]
Now calculate \( 441 \times 16 \):
\[ 441 \times 16 = 7056 \]
Finally, multiply by \( 3.14 \):
\[ V = 3.14 \times 7056 = 22,155.84 \text{ m}^3 \]
So the correct answer is:
22,155.84 m³