An icicle is in the shape of an inverted cone with a diameter of 9 millimeters and a height of 120 millimeters The icicle drips at a rate of 75 mm cubed per minute. How long will it take the icicle to completely melt? Use 3 point 1 4 for pi . Round the answer to the nearest tenth.

The cone’s radius is half its 9 mm diameter, so r = 4.5 mm. Its volume is V = (1/3)πr²h = (1/3)(3.14)(4.5²)(120) = 2,543.4 mm³. At 75 mm³ per minute, the melting time is 2,543.4 ÷ 75 ≈ 33.9 minutes, so the correct choice is 33.9 minutes.

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