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GRE Prep Club Team Member
Joined: 20 Feb 2017
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A cylinder has a surface area of 360π and height of 3. What is the dia
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04 Mar 2021, 06:45
04 Mar 2021, 06:45
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A cylinder has a surface area of \(360π\) and height of 3. What is the diameter of the cylinder’s circular base?
A. 12
B. 24
C. 36
D. 48
E. 60
A. 12
B. 24
C. 36
D. 48
E. 60
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Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
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Re: A cylinder has a surface area of 360π and height of 3. What is the dia
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04 Mar 2021, 07:16
04 Mar 2021, 07:16
1
GeminiHeat wrote:
A cylinder has a surface area of \(360π\) and height of 3. What is the diameter of the cylinder’s circular base?
A. 12
B. 24
C. 36
D. 48
E. 60
A. 12
B. 24
C. 36
D. 48
E. 60
T.S.A of Cylinder = \(2πr(H+r)\)
So, \(2πr(H+r) = 360π\)
\(r(H+r) = 180\)
\(r(3+r) = 180\) .............. [H = 3]
\(12(3+12) = 180\)
i.e. \(r=12\)
Then, Diameter\( = 2r = 24\)
Hence, option B
gmatclubot
Re: A cylinder has a surface area of 360π and height of 3. What is the dia [#permalink]
04 Mar 2021, 07:16
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