To calculate the volume of a 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.
In this case, you mentioned that \( r = 10 \) units and \( h = x = 13 \) units.
Now, plug in the values:
\[ V = \pi (10)^2 (13) \]
Calculating the values, we have:
\[ V = \pi (100) (13) = 1300\pi \]
Using the approximation \( \pi \approx 3.14 \):
\[ V \approx 1300 \times 3.14 \approx 4,082 \text{ cubic units} \]
However, if we are to report the volume in terms of cubic units without the multiplication by \( \pi \), we can represent the volume as \( 1300\pi \) cubic units.
Among the answer choices you provided, option A (1,300 cubic units), B (460 cubic units), C (130 cubic units), and D (5,200 cubic units), the closest representation of the volume (without the \( \pi \)) is \( 1,300 \text{ cubic units} \).
Thus, the answer is:
A. 1,300 cubic units.