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GRE Geometry: A right circular cylinder with height 2 in
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02 Dec 2015, 09:54
02 Dec 2015, 09:54
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Question Stats:
94% (00:56) correct
5% (00:00) wrong based on 17 sessions
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A right circular cylinder with height 2 inches has volume 16 inches.
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The radius of the cylinder |
4 inches |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Re: GRE Geometry: A right circular cylinder with height 2 in
[#permalink]
02 Dec 2015, 09:55
02 Dec 2015, 09:55
2
Expert Reply
Show: :: Solution
Don't solve for quantity A. Instead, see whether A could be equal to B. If a radius of 4 and a height of 2 don't yield a volume of 16, then A and B can't be equal.
Volume of a Right Circular Cylinder = \(\pi r^2 h\)
Let \(r = 4\) and \(h = 2\).
\(\pi(4)^2(2) > 16\)
Thus, \(r < 4\) so (B) is correct.
With radius 4, the cylinder's volume is greater than 16. So 4 must be greater than the cylinder's radius.
Volume of a Right Circular Cylinder = \(\pi r^2 h\)
Let \(r = 4\) and \(h = 2\).
\(\pi(4)^2(2) > 16\)
Thus, \(r < 4\) so (B) is correct.
With radius 4, the cylinder's volume is greater than 16. So 4 must be greater than the cylinder's radius.
Re: GRE Geometry: A right circular cylinder with height 2 in
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08 Jul 2021, 03:23
08 Jul 2021, 03:23
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