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Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
Radius of a cylinder on the picture (not drawn to scale)
[#permalink]
21 Sep 2021, 11:50
21 Sep 2021, 11:50
00:00
Question Stats:
70% (01:38) correct
30% (01:18) wrong based on 20 sessions
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cylinder.png [ 2.99 KiB | Viewed 2628 times ]
Radius of a cylinder on the picture (figure not drawn to scale) is equal to its height.
Quantity A |
Quantity B |
cylinder surface area/cylinder volume, when radius is equal to 2 |
cylinder surface area/cylinder volume, when height is equal to 4 |
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.
Re: Radius of a cylinder on the picture (not drawn to scale)
[#permalink]
22 Sep 2021, 12:17
22 Sep 2021, 12:17
motion2020 wrote:
Radius of a cylinder on the picture (figure not drawn to scale) is equal to its height.
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.
Quantity A |
Quantity B |
cylinder surface area/cylinder volume, when radius is equal to 2 |
cylinder surface area/cylinder volume, when height is equal to 4 |
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.
Given radius = height, in A) radius=height= 2 and in B) the radius=height=4
So B) is greater.
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
Radius of a cylinder on the picture (not drawn to scale)
[#permalink]
24 Sep 2021, 05:10
24 Sep 2021, 05:10
3
cylinder surface area, \(A=2πrh+2πr^2\)
cylinder volume, \(V=πr^2h\)
cylinder surface area/cylinder volume, \(2πrh/πr^2h+2πr^2/πr^2h=2/r+2/h\), which is equal to \(2/r+2/r\) or \(2/h+2/h\). Both cases are useful translations for the correct answer selection.
Quantity A: cylinder surface area/cylinder volume, when r=2
\(2/2+2/2=2\)
Quantity B: cylinder surface area/cylinder volume, when h=4
\(2/h+2/h=1\)
Quantity A is greater, and the answer is A
cylinder volume, \(V=πr^2h\)
cylinder surface area/cylinder volume, \(2πrh/πr^2h+2πr^2/πr^2h=2/r+2/h\), which is equal to \(2/r+2/r\) or \(2/h+2/h\). Both cases are useful translations for the correct answer selection.
Quantity A: cylinder surface area/cylinder volume, when r=2
\(2/2+2/2=2\)
Quantity B: cylinder surface area/cylinder volume, when h=4
\(2/h+2/h=1\)
Quantity A is greater, and the answer is A
