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05 Mar 2025, 22:33
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D: 6
W: 27
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
64% (01:56) correct
36%
(01:52)
wrong
based on 634
sessions
History
Date
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Not Attempted Yet
If D represents the diameter of a cylinder and W represents the volume of that cylinder divided by \(π, (W=\frac{V}{π})\), which of the following could represent D and W of a cylinder for which the height equals the radius?
| D | W | |
| 3 | ||
| 6 | ||
| 9 | ||
| 18 | ||
| 27 | ||
| 36 |
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Official Answer
D: 6
W: 27
poojaarora1818
Joined: 30 Jul 2019
Last visit: 28 Apr 2026
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Concentration: General Management, Economics
Schools: Duke '27 Haas '27 Kelley '27 Kellogg '27 McDonough '27
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Updated on: 20 Mar 2025, 12:05
Originally posted by poojaarora1818 on 05 Mar 2025, 22:55.
Last edited by poojaarora1818 on 20 Mar 2025, 12:05, edited 1 time in total.
Last edited by poojaarora1818 on 20 Mar 2025, 12:05, edited 1 time in total.
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Bismuth83
Solution:
As we know Diameter = 2 Radius
W = \(\frac{\pi*V(volume)}{\pi}\)(Given)
Volume of cylinder = \(\pi*r^{2}*h\)
Height = Radius (Given)
So, we can put this above information and get W = \(\frac{\pi* \pi*r^{2}*r}{\pi}---> W = r^{3}\)
Now. we look into the options D = 2 Radius(2*3=6)
w = \(r^{3} = 3^{3}\) = 27
06 Mar 2025, 00:23
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W = V/π = πr2h/π = r2h = r3(since height = radius is given)
so, W = r3. The only value which is a cube is 27 from the following options. And the corresponding radius becomes 3, so diameter, D becomes 2xr = 6.
so, W = r3. The only value which is a cube is 27 from the following options. And the corresponding radius becomes 3, so diameter, D becomes 2xr = 6.
