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The volume of a right circular cylinder with height equal to 15x and d
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11 Jun 2021, 06:22
11 Jun 2021, 06:22
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Expert Reply
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Question Stats:
75% (01:23) correct
25% (01:28) wrong based on 36 sessions
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Attachment:
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Quantity A |
Quantity B |
The volume of a right circular cylinder with height equal to 15x and diameter equal to 1y |
The volume of a right circular cylinder with height equal to 1x and diameter equal to 4y |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: The volume of a right circular cylinder with height equal to 15x and d
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11 Jun 2021, 07:42
11 Jun 2021, 07:42
1
Volume of a cylinder = \(πr^2h\) , r - radius & h - height
Qt A
\(r = \frac{y}{2}\) & \(h = 15x\)
\(V = π * \frac{y}{2}^2 * 15x\) = \(\frac{15πxy^2}{4}\) = \(3.75πxy^2\)
Qt B
\(r = 2y\) & \(h = 1x\)
\(V = π * (2y)^2 * 1x\) = \(4πxy^2\)
Qt B > Qt A
Answer B
Qt A
\(r = \frac{y}{2}\) & \(h = 15x\)
\(V = π * \frac{y}{2}^2 * 15x\) = \(\frac{15πxy^2}{4}\) = \(3.75πxy^2\)
Qt B
\(r = 2y\) & \(h = 1x\)
\(V = π * (2y)^2 * 1x\) = \(4πxy^2\)
Qt B > Qt A
Answer B
Re: The volume of a right circular cylinder with height equal to 15x and d
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28 Aug 2022, 11:49
28 Aug 2022, 11:49
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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