SAT Math Multiple Choice Question 986: Answer and Explanation

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Question: 986

6. Milk is poured from a full rectangular container with dimensions 4 inches by 9 inchesby 10 inches into a cylindrical container with a diameter of 6 inches. Assuming allthe milk is transferred without spillage, how many inches high will the milk reachin the cylindrical container?

  • A.
  • B.
  • C. 24
  • D. 30

Correct Answer: A



Difficulty: Medium

Category: Additional Topics in Math / Geometry

Strategic Advice: In a real-world scenario, think logically: The volume of the milk itself will not change after it's poured into the cylindrical container, so you can use that volume to determine the height that the milk will reach in its new container.

Getting to the Answer: The volume of milk present is 4 × 9 × = 360 cubic inches. The diameter of the base of the cylindrical container measures 6 inches, so its radius is 3 inches. Substitute this value and the volume of the milk that you found earlier into the formula for finding the volume of a cylinder, and then solve for h:. This means (A) is the correct answer.

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