The radius can be calculated using the formula for the volume of a cone, V = (1/3)Ï€r^2h. Since the volume is 500 cm^3 and the height is 5 cm, we can plug in these values and solve for the radius:
500 = (1/3)Ï€r^2(5)
1500 = πr^2(5)
1500 = 5Ï€r^2
r^2 = 1500 / (5Ï€)
r^2 = 300 / π
r ≈ √(300 / π)
r ≈ 8.66 cm (rounded to two decimal places)
Therefore, the radius of the cone is approximately 8.66 cm.