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 →

this container is all empty

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760
by sanju09 » Sun Nov 17, 2013 12:45 am
Container X is a cylinder of 12 inches base radius. When this container is all empty, water is pumped into it through a pipe of 4Ï€ square inches cross section at the rate of 30 inches per second. If the height of Container X is 80 inches, then in how many seconds will it be half filled?
A. 96
B. 80
C. 64
D. 48
E. 32


Made Up!
Image
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1556
Joined: Tue Aug 14, 2012 11:18 pmFollowed by: 34 members
Thanked: 448 times
GMAT Score:650

by theCodeToGMAT » Sun Nov 17, 2013 1:28 am
Volume pumped out of pipe in 1 sec = (4 π) 30 ==> 120 π

To find: Time of Half filled

Volume of Half Cylinder = π * (12)^2 * 80 / 2 = π * (12)^2 * 40

120 π == 1 sec

1 == 1/120 π sec

π * (12)^2 * 40 = π * (12)^2 * 40 / 120 π ==> 144 * 40 / 120 ==> 48

Answer [spoiler]{D}[/spoiler] ???
R A H U L
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760

by sanju09 » Sun Nov 17, 2013 1:33 am
theCodeToGMAT wrote:Volume pumped out of pipe in 1 sec = (4 π) 30 ==> 120 π

To find: Time of Half filled

Volume of Half Cylinder = π * (12)^2 * 80 / 2 = π * (12)^2 * 40

120 π == 1 sec

1 == 1/120 π sec

π * (12)^2 * 40 = π * (12)^2 * 40 / 120 π ==> 144 * 40 / 120 ==> 48

Answer [spoiler]{D}[/spoiler] ???


What are those question marks doing there? [spoiler]You are doubtlessly correct.[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1556
Joined: Tue Aug 14, 2012 11:18 pmFollowed by: 34 members
Thanked: 448 times
GMAT Score:650

by theCodeToGMAT » Sun Nov 17, 2013 1:37 am
;) .. just the curiosity to know whether my solution is correct..
R A H U L
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1