• e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors

Cylinder with largest volume

This topic has 2 expert replies and 2 member replies
gmattesttaker2 Legendary Member Default Avatar
Joined
14 Feb 2012
Posted:
641 messages
Followed by:
8 members
Thanked:
11 times

Cylinder with largest volume

Post Sat Feb 15, 2014 11:31 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Hello,

    Can you please tell me if my answer is correct here:

    Right cylinder A has diameter 6 and height 5. Right cylinder B has diameter
    10 and height 3. Which cylinder has the largest volume and what is the difference
    between the two volumes?

    (A) A's volume is greater than B's volume, and the difference is 30 pi
    (B) A's volume is greater than B's volume, and the difference is 15 pi
    (C) A's volume is equal to B's volume
    (D) B's volume is greater than A's volume, and the difference is 15 pi
    (E) B's volume is greater than A's volume, and the difference is 30 pi


    I am getting E


    Thanks,
    Sri

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!

    GMAT/MBA Expert

    Post Sat Feb 15, 2014 11:36 pm
    Correct.

    _________________


      Ask me about tutoring.

    Thanked by: gmattesttaker2

    Top Member

    Abhishek009 Master | Next Rank: 500 Posts
    Joined
    11 Mar 2009
    Posted:
    357 messages
    Followed by:
    2 members
    Thanked:
    50 times
    Target GMAT Score:
    900+
    Most Thanked Member
    Post Sun Feb 16, 2014 9:45 am
    [quote="gmattesttaker2"]Hello,

    Can you please tell me if my answer is correct here:

    Right cylinder A has diameter 6 and height 5. Right cylinder B has diameter
    10 and height 3. Which cylinder has the largest volume and what is the difference
    between the two volumes?

    (A) A's volume is greater than B's volume, and the difference is 30 pi
    (B) A's volume is greater than B's volume, and the difference is 15 pi
    (C) A's volume is equal to B's volume
    (D) B's volume is greater than A's volume, and the difference is 15 pi
    (E) B's volume is greater than A's volume, and the difference is 30 pi


    I am getting E


    Thanks,
    Sri[/quote

    Volume of Cylinder A = π 3²5 => 45π

    Volume of Cylinder B = π 5²3 => 75π


    Hence Volume of b > Volume of A by 30π

    Hence answer will undoubtedly be (E)

    _________________
    Abhishek

    Thanked by: gmattesttaker2
    Post Sun Feb 16, 2014 9:54 am
    gmattesttaker2 wrote:
    Right cylinder A has diameter 6 and height 5. Right cylinder B has diameter
    10 and height 3. Which cylinder has the largest volume and what is the difference
    between the two volumes?

    (A) A's volume is greater than B's volume, and the difference is 30 pi
    (B) A's volume is greater than B's volume, and the difference is 15 pi
    (C) A's volume is equal to B's volume
    (D) B's volume is greater than A's volume, and the difference is 15 pi
    (E) B's volume is greater than A's volume, and the difference is 30 pi

    Volume of cylinder = (pi)r²h

    Right cylinder A: diameter 6 and height 5
    This means the radius = 3
    So, Volume = (pi)(3)²(5)
    = 45pi

    Right cylinder B: diameter 10 and height 3
    This means the radius = 5
    So, Volume = (pi)(5)²(3)
    = 75pi

    75pi - 45pi = 30pi

    So, cylinder B has a volume that's 30pi greater than that of cylinder A

    Answer: E

    Cheers,
    Brent

    _________________
    Brent Hanneson – Founder of GMATPrepNow.com
    Use our video course along with Beat The GMAT's free 60-Day Study Guide

    Check out the online reviews of our course
    Come see all of our free resources

    Thanked by: gmattesttaker2
    GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!
    Amrabdelnaby Master | Next Rank: 500 Posts Default Avatar
    Joined
    13 Nov 2015
    Posted:
    137 messages
    Followed by:
    2 members
    Thanked:
    1 times
    Post Thu Dec 24, 2015 9:06 am
    vOL OF a IS 45pi and vol of B is 75pi Smile

    gmattesttaker2 wrote:
    Hello,

    Can you please tell me if my answer is correct here:

    Right cylinder A has diameter 6 and height 5. Right cylinder B has diameter
    10 and height 3. Which cylinder has the largest volume and what is the difference
    between the two volumes?

    (A) A's volume is greater than B's volume, and the difference is 30 pi
    (B) A's volume is greater than B's volume, and the difference is 15 pi
    (C) A's volume is equal to B's volume
    (D) B's volume is greater than A's volume, and the difference is 15 pi
    (E) B's volume is greater than A's volume, and the difference is 30 pi


    I am getting E


    Thanks,
    Sri

    Best Conversation Starters

    1 Vincen 132 topics
    2 lheiannie07 65 topics
    3 LUANDATO 54 topics
    4 Roland2rule 43 topics
    5 ardz24 40 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    133 posts
    2 image description GMATGuruNY

    The Princeton Review Teacher

    114 posts
    3 image description EconomistGMATTutor

    The Economist GMAT Tutor

    113 posts
    4 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    109 posts
    5 image description DavidG@VeritasPrep

    Veritas Prep

    72 posts
    See More Top Beat The GMAT Experts