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To find the radius of the cone, we can rearrange the formula for volume of a cone:
V = 1/3 * π * r^2 * h
Given: V = 500 cm^3, h = 13.5 cm
500 = 1/3 * π * r^2 * 13.5
500 = 4.5π * r^2
r^2 = 500 / (4.5π)
r^2 ≈ 35.08
r ≈ √35.08
r ≈ 5.93
The approximate radius of the cone is 5.93 cm, which is closest to 6 cm from the provided options. So, the answer is 6 cm.