SAT数学Problem Solving练习题(33)
- 2017年07月26日14:12 来源:互联网
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Question 33: The side of the cube C1 is equal to the height of a cylinder C2 and twice the radius of the same cylinder C2.
Column AColumn B
Volume of the cube C1Volume of the cylinder C2
(a) The quantity in Column A is greater then the quantity in Column B.
(b) The quantity in Column B is greater then the quantity in Column A.
(c) The two quantities are equal.
(d) The relationship cannot be determined from the information given.
Answer: The volume of the cube will be a·a·a = a3
The volume of the cylinder will be h·¶·r2 = a·¶·(a/2)2 = (¶/4)·a3
Since (¶/4) < 1, the volume of the cube will be greater than the volume of the cylinder, so tthe quantity in Column A is greater then the quantity in Column B.