To find the radius of the base of a cylinder given the circumference, you can use the formula for the circumference of a circle:
\[ C = 2\pi r \]
where \( C \) is the circumference and \( r \) is the radius.
Here, you are provided with a circumference (\( C \)) of 2 inches. We can rearrange the formula to solve for the radius:
\[ r = \frac{C}{2\pi} \]
Substituting the value of the circumference:
\[ r = \frac{2}{2\pi} = \frac{1}{\pi} \]
Calculating \( \frac{1}{\pi} \):
\[ r \approx \frac{1}{3.14} \approx 0.318 \text{ inches} \]
This value does not match any of the given options (2, 4, 15, 7.5).
It seems there may have been a miscommunication regarding the circumference or units since for a cylinder with a given height of 15 inches, the radius derived from that circumference (2 inches) is less than 1 inch.
If the value of circumference should be larger, please verify the parameters again. If the values were input correctly, then none of the options provided (2, 4, 15, 7.5) is correct based on the circumference of 2 inches.