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 →

Sphere and Cylonder problem

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 51
Joined: Sat Oct 16, 2010 9:31 pm
by AndyB » Sun Oct 09, 2011 3:35 am
Hello Everyone,

Anybody!!! Please help me in solving the below problem.

Q) A sphere with a diameter of 6cm is dropped in a circular cylindrical vessel that is partially filled with water.The diameter of the cylindrical vessel is 12 cm.If the

sphere is completely submerged in water how much will the level of water rise in lthe cylindirical vessel.

a)1 cm
b)2 cm
c)3 cm
d)4 cm
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members
Location: Milpitas, CA
Thanked: 1854 times
GMAT Score:770

by Anurag@Gurome » Sun Oct 09, 2011 3:47 am
AndyB wrote:A sphere with a diameter of 6cm is dropped in a circular cylindrical vessel that is partially filled with water.The diameter of the cylindrical vessel is 12 cm.If the sphere is completely submerged in water how much will the level of water rise in lthe cylindirical vessel.
Volume of the sphere = (4/3)*pi*(6/2)^3 = 36*pi cc

Say, the level of the water in the sphere rises by h cm.
Hence, the sphere replaces pi*[(12/2)^2]*h = 36*pi*h cc of water.

Therefore, 36*pi = 36*pi*h ---> h = 1

The correct answer is A.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 197
Joined: Thu Sep 15, 2011 10:22 amFollowed by: 2 members
Thanked: 6 times

by parul9 » Sun Oct 09, 2011 5:31 am
The water in cylinder will be displaced to accommodate the volume of the sphere.
So, volume of sphere = volume of displaced water in cylinder.

4/3*pi*3^3 = pi*6^2*h, where h is the height by which the water level will rise.

this gives us h = 1 cm.

So, A
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1