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24 Dec 2021, 03:21
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
86% (01:31) correct
14%
(01:39)
wrong
based on 56
sessions
History
Date
Time
Result
Not Attempted Yet
A sheet of paper 8 units long and 6 units wide is rolled into a cylinder 8 units in height. What is the volume of the cylinder?
A. \(\frac{9}{\pi}\)
B. \(\frac{24}{\pi}\)
C. \(\frac{48}{\pi}\)
D. \(\frac{72}{\pi}\)
E. \(\frac{96}{\pi}\)
A. \(\frac{9}{\pi}\)
B. \(\frac{24}{\pi}\)
C. \(\frac{48}{\pi}\)
D. \(\frac{72}{\pi}\)
E. \(\frac{96}{\pi}\)
24 Dec 2021, 17:22
Kudos
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Bunuel
Breaking Down the Info:
In order to obtain a height of 8 units, we must have rolled along the 6-unit-wide side. Hence the circumference of the cylinder is 6 units.
The radius is \(r = \frac{C}{2\pi} = \frac{3}{\pi}\).
Thus the volume is \(V = \text{Base * Height} = \pi r^2h = \pi * \frac{9}{\pi^2}*8 = \frac{72}{\pi}\)
Answer: D
25 Aug 2023, 04:03
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