Events & Promotions
|
|
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.
Apr 2912:30 AM EDT
-01:30 AM EDT
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
Apr 3001:30 AM EDT
-02:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
May 0306:30 AM PDT
-08:30 AM PDT
Verbal trouble on GMAT? Fix it NOW! Join Sunita Singhvi for a focused webinar on actionable strategies to boost your Verbal score and take your performance to the next level.
06 Dec 2017, 23:01
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (01:48) correct
19%
(01:48)
wrong
based on 42
sessions
History
Date
Time
Result
Not Attempted Yet
The height of the solid cone above is 18 inches and the radius of the base is 8 inches. A cut parallel to the circular base is made completely through the cone so that one of the two resulting solids is a smaller cone. If the radius of the base of the small cone is 2 inches, what is the height of the small cone, in inches?
(A) 2.5
(B) 4
(C) 4.5
(D) 9.0
(E) 12
Attachment:
2017-12-07_0955_003.png [ 10.85 KiB | Viewed 4297 times ]
07 Dec 2017, 07:10
Kudos
Bookmarks
Both the cones are similar triangles. So the ratio of the sides should be equal.
18/16 = x/4 => x=4.5
18/16 = x/4 => x=4.5
07 Dec 2017, 11:45
Kudos
Bookmarks
Bunuel
Attachment:
ppp.png [ 16.99 KiB | Viewed 3810 times ]
In the diagram, ∆ ABC and ∆ EFG, both one-dimensional "slices" of their respective cones, are right triangles (the height is perpendicular to the radius).
Both right triangles share the same angle at the top of the cone (changing the size of the circular base does not affect the tip of the cone).
Both share the same angle where radius meets the cone's side (that slope does not change).
By similar triangle properties, the original cone's ratio of height to radius, in inches, equals the ratio of the new cone's height to radius, in inches:
\(\frac{H}{R} = \frac{h}{r}\)
\(\frac{AB}{AC} =\frac{EG}{EF}\)
\(\frac{18}{8} = \frac{h}{2}\)
\(36 = 8h\)
\(9 = 2h\)
\(h = \frac{9}{2} =\)
\(4.5\) inches
Answer C
