|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
05 Mar 2025, 22:33
Kudos
Bookmarks
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 635
sessions
History
Date
Time
Result
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 |
ShowHide Answer
Official Answer
D: 6
W: 27
poojaarora1818
Joined: 30 Jul 2019
Last visit: 29 Apr 2026
Posts: 1,631
Given Kudos: 3,825
Location: India
Concentration: General Management, Economics
Schools: Duke '27 Haas '27 Kelley '27 Kellogg '27 McDonough '27
GPA: 3
WE:Human Resources (Real Estate)
Products:
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.
Kudos
Bookmarks
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
Kudos
Bookmarks
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.
