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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
A thin rectangular sheet of metal is 6 inches wide and 10 inches long.
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06 Dec 2022, 01:26
06 Dec 2022, 01:26
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Question Stats:
50% (02:39) correct
50% (00:57) wrong based on 6 sessions
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A thin rectangular sheet of metal is 6 inches wide and 10 inches long. The sheet of metal is to be rolled into to form a cylinder so that one dimension becomes the circumference of the cylinder and the other dimension becomes the height. What is the volume of the largest possible cylinder?
A) \(\frac{60}{π}\)
B) \(\frac{90}{π}\)
C) \(\frac{150}{π}\)
D) 360π
E) 600π
A) \(\frac{60}{π}\)
B) \(\frac{90}{π}\)
C) \(\frac{150}{π}\)
D) 360π
E) 600π
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
Re: A thin rectangular sheet of metal is 6 inches wide and 10 inches long.
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08 Dec 2022, 09:14
08 Dec 2022, 09:14
Expert Reply
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1) let 6 as 2 pi *r ..... so \(2pi*r = 6.......... r=\frac{3}{pi}.....\)
so volume = \(pi*r^2h= pi*(\frac{3}{pi})^2*10 = \frac{90}{pi}\)..
2) let 10 be circumference...so \(2pi*r = 10.......... r=\frac{5}{pi}.....\)
so volume =\(pi*r^2h= pi*(\frac{5}{pi})^2*6 = \frac{150}{pi}\)..
greater of two is \(\frac{150}{pi}\)
Answer: C
so volume = \(pi*r^2h= pi*(\frac{3}{pi})^2*10 = \frac{90}{pi}\)..
2) let 10 be circumference...so \(2pi*r = 10.......... r=\frac{5}{pi}.....\)
so volume =\(pi*r^2h= pi*(\frac{5}{pi})^2*6 = \frac{150}{pi}\)..
greater of two is \(\frac{150}{pi}\)
Answer: C
gmatclubot
Re: A thin rectangular sheet of metal is 6 inches wide and 10 inches long. [#permalink]
08 Dec 2022, 09:14
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