BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Please help with PS question

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 46
Joined: Mon Aug 25, 2008 9:06 am
Thanked: 1 times
by madsport » Sun Sep 07, 2008 6:23 pm
The inside dimensions of a rectangular wooden box are 6 inches by 8 inches by 10 inches. A cylindrical canister is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces. Of all such canisters that could be used, what is the radius, in inches, of the one that has the maximum volume?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 8

The answer is B
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 132
Joined: Fri Sep 05, 2008 10:19 pm
Location: Bangladesh
Thanked: 1 times

by rabab » Sun Sep 07, 2008 7:58 pm
I know!! I am just as stuck as you're with the same question!
Can anyone help pls?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 89
Joined: Sun Aug 10, 2008 8:35 pm

by ritula » Sun Sep 07, 2008 9:23 pm
Hmmmm. well let me give it a try. But I am not sure if I am doing it the right way.
Lets say the volume is same and height of canister be the same as rectangular box. Then
6*8*10=3.14 *(r^2)*10
Lets approximate 3.14 as 3 to simplify hethings
48/3=r^2
r=4
Hence B
Philosophers have interpreted world in various ways, the point is to change it!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 3
Joined: Sat Aug 30, 2008 3:35 am
Location: Bengaluru

by mankuthimma » Mon Sep 08, 2008 12:16 am
Here is how I solved the problem.

We have to find the combination of radius and height that results in maximum volume. The base of the rectangular box can be 6x8, 6x10 and 8x10.
If the base is 6x8, then the circular base of a cylinder placed inside the rectangular box can have the diamter 6. That means, radius is 3 and the volume 90(pi).
Similarly, if the base is 6x10, the radius is again 3 and the volume is 72(pi).
If the base is 8x10, then the radius is 4 and the volume is 96(pi). So, the maximum volume is 96(pi) and the maximum radius is 4.

Answer is B.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 132
Joined: Fri Sep 05, 2008 10:19 pm
Location: Bangladesh
Thanked: 1 times

by rabab » Mon Sep 08, 2008 12:38 am
mankuthimma wrote:. The base of the rectangular box can be 6x8, 6x10 and 8x10.
Pardon me if I sound stupid, but why are we considering the base to be 6x8, 6x10 and 8x10 only? Why not 10X6, 10X8 and so on?

Thanks for your reply anyways.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1