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Q. The interior dimensions of a rectangular tank are as follows: length 110 centimeters, width 90 centimeters, and height 270 centimeters. The tank rests on level ground. Based on the assumption that the volume of water increases by 10 percent when it freezes, which of the following is closest to the maximum height, in centimeters, to which the tank can be filled with water so that when the water freezes, the ice would not rise above the top of the tank?
  • a)
    230
  • b)
    235
  • c)
    240
  • d)
    245
  • e)
    250
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: Select a single answer choice.Q. The interior dimensions ...
Let x be the maximum height, in centimeters, to which the tank can be filled with
water, so that when the water freezes, the ice will not rise above the top of the tank. Based on the assumption that the volume of water increases by 10 percent when it freezes and the fact that the length and width of the tank will not change, the maximum height of the ice is 1.1x centimeters. Since the height of the tank is 270 centimeters, it follows that 1.1x = 270, or, to the nearest whole number, x = 245. The correct answer is Choice D.
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Directions: Select a single answer choice.Q. The interior dimensions ...
Given:
- Length of the tank = 110 cm
- Width of the tank = 90 cm
- Height of the tank = 270 cm

To find:
- The maximum height to which the tank can be filled with water so that when it freezes, the ice would not rise above the top of the tank.

Approach:
1. Calculate the volume of the tank.
2. Calculate 10% of the volume of the tank.
3. Subtract the 10% volume from the volume of the tank.
4. Convert the remaining volume to the height of the water in the tank.

Calculation:
1. Volume of the tank = Length × Width × Height
Volume = 110 cm × 90 cm × 270 cm = 2,729,000 cm³

2. 10% of the volume of the tank = (10/100) × 2,729,000 cm³ = 272,900 cm³

3. Remaining volume = Volume of the tank - 10% of the volume
Remaining volume = 2,729,000 cm³ - 272,900 cm³ = 2,456,100 cm³

4. Convert the remaining volume to height:
Height = Remaining volume / (Length × Width)
Height = 2,456,100 cm³ / (110 cm × 90 cm) ≈ 246.1 cm

Therefore, the maximum height to which the tank can be filled with water so that when it freezes, the ice would not rise above the top of the tank is approximately 246.1 cm.

Hence, the correct answer is option D) 245 cm, as it is the closest option to 246.1 cm.
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Directions: Select a single answer choice.Q. The interior dimensions of a rectangular tank are as follows: length 110 centimeters, width 90 centimeters, and height 270 centimeters. The tank rests on level ground. Based on the assumption that the volume of water increases by 10 percent when it freezes, which of the following is closest to the maximum height, in centimeters, to which the tank can be filled with water so that when the water freezes, the ice would not rise above the top of the tank?a)230b)235c)240d)245e)250Correct answer is option 'D'. Can you explain this answer?
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Directions: Select a single answer choice.Q. The interior dimensions of a rectangular tank are as follows: length 110 centimeters, width 90 centimeters, and height 270 centimeters. The tank rests on level ground. Based on the assumption that the volume of water increases by 10 percent when it freezes, which of the following is closest to the maximum height, in centimeters, to which the tank can be filled with water so that when the water freezes, the ice would not rise above the top of the tank?a)230b)235c)240d)245e)250Correct answer is option 'D'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Select a single answer choice.Q. The interior dimensions of a rectangular tank are as follows: length 110 centimeters, width 90 centimeters, and height 270 centimeters. The tank rests on level ground. Based on the assumption that the volume of water increases by 10 percent when it freezes, which of the following is closest to the maximum height, in centimeters, to which the tank can be filled with water so that when the water freezes, the ice would not rise above the top of the tank?a)230b)235c)240d)245e)250Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Select a single answer choice.Q. The interior dimensions of a rectangular tank are as follows: length 110 centimeters, width 90 centimeters, and height 270 centimeters. The tank rests on level ground. Based on the assumption that the volume of water increases by 10 percent when it freezes, which of the following is closest to the maximum height, in centimeters, to which the tank can be filled with water so that when the water freezes, the ice would not rise above the top of the tank?a)230b)235c)240d)245e)250Correct answer is option 'D'. Can you explain this answer?.
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