Multiple choice

Water is poured from a full right circular cylinder of height 3 ft and radius 2 ft into a rectangular tank whose base dimensions are 7 ft by 1 ft. Approximately, to what height, in feet, will the water rise (assume no overflow)?

  1. 5.49

  2. 5.39

  3. 5.34

  4. 5.29

  5. 5.24
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of cylinder = pi * r^2 * h = 3.14159 * 2^2 * 3 = 37.699 ft^3. The tank base area = 7 * 1 = 7 ft^2. Height of water in tank = Volume / Base Area = 37.699 / 7 = 5.385... ft. Approximately 5.39 ft.

AI explanation

Using the volume of a cylinder formula, V = pi * r^2 * h, the volume of water is pi * 2^2 * 3 = 12 * pi, which is approximately 37.699 cubic feet. When poured into the rectangular tank with base dimensions 7 ft by 1 ft, the base area is 7 * 1 = 7 square feet. The height of the water is the volume divided by the base area, 37.699 / 7, which equals approximately 5.39 feet. The result is 5.39.

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