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,
- \( h \) is the height.
Given:
- Diameter = 42 m, so the radius \( r = \frac{42}{2} = 21 \) m,
- Height \( h = 16 \) m,
- Using \( \pi = 3.14 \).
Now substitute these values into the formula:
\[ V = 3.14 \times (21)^2 \times 16 \]
First, calculate the area of the base:
\[ (21)^2 = 441 , \text{m}^2 \]
Now substitute this into the volume formula:
\[ V = 3.14 \times 441 \times 16 \]
Calculate \( 441 \times 16 \):
\[ 441 \times 16 = 7056 \]
Now multiply by \( 3.14 \):
\[ V = 3.14 \times 7056 \approx 22,155.84 , \text{m}^3 \]
So, the solution for the volume of the cylinder is:
22,155.84 m³