Final answer:
The radius of the cone is approximately 2.83 cm.
Step-by-step explanation:
To calculate the radius of a cone, we need to know the volume and the height of the cone. The formula for the volume of a cone is V = (1/3)πr²h, where V is the volume, r is the radius, and h is the height. Rearranging the formula to solve for r, we get r = √((3V)/(πh)). Substituting the given values, which are V = 195 cm³ and h = 20 cm, we can calculate the radius as follows:
r = √((3 x 195)/(π x 20))
r ≈ 2.83 cm