To find the radius of a cone from its diameter, you can use the formula:
\[ \text{Radius} = \frac{\text{Diameter}}{2} \]
Given that the diameter of the base of the cone is 14 inches:
\[ \text{Radius} = \frac{14 \text{ in}}{2} = 7 \text{ in} \]
Thus, the length of the radius is 7 inches.