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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Tricky - A solid cylinder with radius 3 inches sits in a tagged by: Brent@GMATPrepNow ##### This topic has 1 expert reply and 2 member replies ### GMAT/MBA Expert ## Tricky - A solid cylinder with radius 3 inches sits in a ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A solid cylinder with radius 3 inches sits in a cylindrical container containing water. The cylindrical container has radius 4 inches, and the water is 6/Ï€ inches deep. If the solid cylinder is removed from the container, what will be the depth of the water (in inches)? A) 2/(3pi) B) 9/(4pi) C) 7/(3pi) D) 21/(8pi) E) 3/pi Source: GMAT Prep Now Difficulty level: 700+ Answer: D EDIT: I changed the answer choices after I was alerted to a mistake I made. _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources Last edited by Brent@GMATPrepNow on Mon Feb 20, 2017 11:28 am; edited 1 time in total GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! Master | Next Rank: 500 Posts Joined 15 Oct 2009 Posted: 320 messages Upvotes: 27 Must be tricky. OK, I'll bite. Volume of cylinder and water together = pi(r^2)h = pi(16)(6/pi) = 96 cubic inches Volume of cylinder = pi(3^2)(6/pi) = 54 cubic inches Therefore, volume of water = 42 cubic inches. H after cylinder removed = 42/(pi(4^2) = 21/pi(8) Last edited by regor60 on Mon Feb 20, 2017 11:53 am; edited 2 times in total ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12442 messages Followed by: 1244 members Upvotes: 5254 GMAT Score: 770 Argh!! I solved that question TWICE before posting it and, each time I subtracted 96 - 54, I got 32 (instead of 42) I have edited the answer choices accordingly. Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! Master | Next Rank: 500 Posts Joined 15 Oct 2009 Posted: 320 messages Upvotes: 27 Another, more direct, approach. What is the volume of water directly ? Area of surface x height Area of surface = length x width > width is difference in radii > =1" Length is trickier: It's the average of the length of the inner radius and the outer radius Length = 2(pi)[(3+4)/2)] = 7(pi) Surface Area = Length x width = 7(pi) x 1 = 7(pi) square inches Volume = Surface area x height = 7(pi) x (6/pi) = 42 cubic inches New height of water = Volume/area = 42/16(pi)= D • Award-winning private GMAT tutoring Register now and save up to$200

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