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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
52% (01:45) correct
48%
(01:21)
wrong
based on 162
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The height of a certain right circular cylinder is greater than its diameter, and both numbers are positive integers. What is the volume of the cylinder?
(1) The radius of the base is 2.5.
(2) The longest distance between any two points on the cylinder is 13.
Kudos for a correct solution.
The OA will be revealed on Sunday
(1) The radius of the base is 2.5.
(2) The longest distance between any two points on the cylinder is 13.
Kudos for a correct solution.
The OA will be revealed on Sunday
A - Height not mentioned.... not sure
B - 13 units = distance between One end of radii of bottom face to other end of radii of top face. Therefore Hypotenuse = 13 units.
If you can use pythagor. triplets then sides will be 12 and 5 , which is corresponding radius value in B....
Answer - B
B - 13 units = distance between One end of radii of bottom face to other end of radii of top face. Therefore Hypotenuse = 13 units.
If you can use pythagor. triplets then sides will be 12 and 5 , which is corresponding radius value in B....
Answer - B
Updated on: 31 Jan 2015, 16:21
Originally posted by sterling19 on 30 Jan 2015, 08:34.
Last edited by sterling19 on 31 Jan 2015, 16:21, edited 1 time in total.
Last edited by sterling19 on 31 Jan 2015, 16:21, edited 1 time in total.
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Given in problem: h > d (or 2r)
Formula: V = π\(r^2*h\)
Statement 1 [INSUFFICIENT] The statement gives the radius, but does not give any information on the height.
Statement 2: [SUFFICIENT] The longest distance in a right cylinder is the diagonal that forms the hypotenuse of its inscribed right triangle. Using Pythagorean triplets, the sides of the triangle are 5-12-13. 12 is the height, because the problem states the height is greater than the diameter. This leaves 5 as the diameter and 2.5 as the radius.
The answer is B.
Formula: V = π\(r^2*h\)
Statement 1 [INSUFFICIENT] The statement gives the radius, but does not give any information on the height.
Statement 2: [SUFFICIENT] The longest distance in a right cylinder is the diagonal that forms the hypotenuse of its inscribed right triangle. Using Pythagorean triplets, the sides of the triangle are 5-12-13. 12 is the height, because the problem states the height is greater than the diameter. This leaves 5 as the diameter and 2.5 as the radius.
The answer is B.
