To find the volume of a cylinder, we use the formula:
\[ V = \pi r^2 h \]
where
- \( V \) represents the volume of the cylinder,
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder, and
- \( \pi \) (Pi) is a mathematical constant approximately equal to 3.14159.
Since the diameter of the base is given as 16 ft, we can calculate the radius by dividing the diameter by 2:
\[ r = \frac{diameter}{2} = \frac{16}{2} = 8 \, \text{ft} \]
Now we have the radius as 8 ft and the height as 9 ft. Let's plug these into the formula:
\[ V = \pi (8^2) (9) \]
\[ V = \pi (64) (9) \]
\[ V = \pi (576) \]
Using the approximate value for \( \pi \) as 3.14159:
\[ V \approx 3.14159 \times 576 \]
\[ V \approx 1808.57424 \]
Now we can round to the nearest tenth:
\[ V \approx 1808.6 \, \text{cubic ft} \]
So the volume of the cylinder, rounded to the nearest tenths place, is approximately 1808.6 cubic feet.
