Final answer:
To find the radius of the cone, we can use the formula for the volume of a cone and solve for r.
Step-by-step explanation:
To find the radius of the cone, we need to use the formula for the volume of a cone, which is V = (1/3)πr²h. We are given that the volume (V) is 120 cubic centimeters and the height (h) is 4.5 centimeters.
Substituting these values into the formula, we get 120 = (1/3) × 3.14 × r² × 4.5.
Simplifying the equation, we have 360 = 14.13 × r².
To solve for r, we divide both sides of the equation by 14.13 and then take the square root of both sides. This gives us r ≈ 2.97 centimeters.