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11 Mar 2022, 03:45
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C
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Difficulty:
15%
(low)
Question Stats:
84% (02:11) correct
16%
(02:33)
wrong
based on 32
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A cylinder has a volume of 180π cubic inches and the radius of its circular base is 6 inches. What is the length of the longest line segment that can be drawn from one point on the cylinder to another?
A. 30/π
B. 12
C. 13
D. 5π
E. 6π
A. 30/π
B. 12
C. 13
D. 5π
E. 6π
11 Mar 2022, 04:44
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\(πr^2 h = 180π\)
6^2*h = 180
36 * h = 180
h = 5
Base AC = 12
Height BC = 5
Longest line AB = 12^2 + 5^2
144+25 = (AB)^2
AB = 13
Answer C
6^2*h = 180
36 * h = 180
h = 5
Base AC = 12
Height BC = 5
Longest line AB = 12^2 + 5^2
144+25 = (AB)^2
AB = 13
Answer C
Attachments
Cylinder.png [ 9.69 KiB | Viewed 1088 times ]
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