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555-605 (Medium)|   Geometry|      
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Bunuel
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The side surface of a cylinder is rolled with a rectangular plate. If 17 Jun 2019, 00:08
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B
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25% (medium)

Question Stats:

73% (01:21) correct 27% (02:19) wrong based on 52 sessions

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The side surface of a cylinder is rolled with a rectangular plate. If the height of a cylinder tank is 12 feet and the perimeter of the circular base Is 9 feet, what is the diagonal of the rectangular plate?

(A) 13
(B) 15
(C) 18
(D) 20
(E) 21
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B
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The side surface of a cylinder is rolled with a rectangular plate. If 17 Jun 2019, 00:29
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Length and breadth =12 and 9
Diagonal = sq ft of 12^2 and 9^2 = 15
Hence B

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The side surface of a cylinder is rolled with a rectangular plate. If 17 Jun 2019, 09:35
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Bunuel
The side surface of a cylinder is rolled with a rectangular plate. If the height of a cylinder tank is 12 feet and the perimeter of the circular base Is 9 feet, what is the diagonal of the rectangular plate?

(A) 13
(B) 15
(C) 18
(D) 20
(E) 21
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given 2*pi*r*h
2*pi*r=9 and h = 12
9,12 ; 3,4
and diagonal = in form of 3:4:5 ; d=5 5*3 = 15
IMO B
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The side surface of a cylinder is rolled with a rectangular plate. If 19 Jun 2019, 18:34
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Bunuel
The side surface of a cylinder is rolled with a rectangular plate. If the height of a cylinder tank is 12 feet and the perimeter of the circular base Is 9 feet, what is the diagonal of the rectangular plate?

(A) 13
(B) 15
(C) 18
(D) 20
(E) 21
Show more

The height of the cylindrical tank and the perimeter of its circular base are the length and width of the rectangular plate. Therefore, the length and the width of the plate are 12 and 9, respectively. By the Pythagorean theorem, we have:

12^2 + 9^2 = d^2

144 + 81 = d^2

225 = d^2

15 = d

Answer: B
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The side surface of a cylinder is rolled with a rectangular plate. If 22 May 2022, 14:53
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