The volume \( V \) of a cone can be calculated using the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
Given:
- \( h = 24 \) units
- \( r = 8 \) units
- \( \pi \approx 3.14 \)
Now, substitute the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (8)^2 \times 24 \]
First, calculate \( (8)^2 \):
\[ (8)^2 = 64 \]
Now, plug this value into the equation:
\[ V = \frac{1}{3} \times 3.14 \times 64 \times 24 \]
Next, calculate \( 64 \times 24 \):
\[ 64 \times 24 = 1536 \]
Now substitute this into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 1536 \]
Now, calculate \( 3.14 \times 1536 \):
\[ 3.14 \times 1536 = 4825.44 \]
Finally, divide by 3:
\[ V = \frac{4825.44}{3} \approx 1608.48 \]
Therefore, rounding to two decimal places, the volume \( V \) is approximately \( 1,608.48 \).
However, since we have to choose from the options given, the closest answer is:
A. 1,607.68 cubic units.