AnswersReading HS- Integrated Math IVolumeQuestion 1
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Volume

Question 1 • Reading HS- Integrated Math I

The clubhouse has a water tank from which hikers fill their water jugs before walking the trail. The tank is a 5-gallon cylindrical container with a height of 2 feet and a radius of 4 inches. Alex fills his 1-gallon jug from the clubhouse tank before going on a hike. If the 5-gallon tank was full, what was the height of the water in the tank after Alex filled the 1-gallon jug?

Answer
A
1.6 inches
B
4.8 inches
C
19.2 inches
D
964.6 inches

Explanation

Alex removes 1 gallon from the full 5-gallon tank, so 4 gallons—or 4/5 of the tank’s volume—remain. In a cylindrical tank, the water height is proportional to its volume, so the remaining height is (4/5) × 2 feet = 1.6 feet. Converting to inches gives 1.6 × 12 = 19.2 inches, so the correct choice is 19.2 inches.

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