• 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
  • 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
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas 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
  • 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
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh

OG A container in the shape

This topic has 2 expert replies and 0 member replies
AbeNeedsAnswers Master | Next Rank: 500 Posts Default Avatar
Joined
02 Jul 2017
Posted:
191 messages
Followed by:
1 members
Thanked:
1 times

OG A container in the shape

Post Tue Jul 25, 2017 8:21 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    A container in the shape of a right circular cylinder is 1/2 full of water. If the volume of water in the container is 36 cubic inches and the height of the container is 9 inches, what is the diameter of the base of the cylinder, in inches?

    (A) 16/9π

    (B) 4/(root)π

    (C) 12/(root)π

    (D) (root)(2/π)

    (E) 4(root)(2/π)

    E

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Tue Jul 25, 2017 8:47 pm
    AbeNeedsAnswers wrote:
    A container in the shape of a right circular cylinder is 1/2 full of water. If the volume of water in the container is 36 cubic inches and the height of the container is 9 inches, what is the diameter of the base of the cylinder, in inches?

    (A) 16/9π

    (B) 4/(root)π

    (C) 12/(root)π

    (D) (root)(2/π)

    (E) 4(root)(2/π)

    E
    Given that the cylinder is half full and the volume of water in the cylinder is 36 cubic inches, thus, the volume of the cylinder = 2*36 = 72 cubic inches.

    We know that the volume of a cylinder = πr^2h

    => πr^2h = 72

    = 9πr^2 = 72; given that height = h = 9 inches

    = πr^2 = 8

    = r^2 = 8/π

    = r = √(8/π)

    Diameter of the cylinder = 2r = 2√(8/π) = 4√(2/π)

    The correct answer: E

    Hope this helps!

    Download free ebook: Manhattan Review GMAT Quantitative Question Bank Guide

    -Jay
    _________________
    Manhattan Review GMAT Prep

    Locations: New York | Singapore | Doha | Lausanne | and many more...

    Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

    GMAT/MBA Expert

    Post Mon Aug 14, 2017 2:08 pm
    AbeNeedsAnswers wrote:
    A container in the shape of a right circular cylinder is 1/2 full of water. If the volume of water in the container is 36 cubic inches and the height of the container is 9 inches, what is the diameter of the base of the cylinder, in inches?

    (A) 16/9π

    (B) 4/(root)π

    (C) 12/(root)π

    (D) (root)(2/π)

    (E) 4(root)(2/π)

    E
    Recall that the volume of a cylinder is:

    volume = π(radius)^2(height)

    Since half of the capacity of the cylinder is 36, the full capacity of the cylinder is 72; thus:

    72 = πr^2(9)

    8/π = r^2

    √(8/π) = r

    √8/√π = r

    (2√2)/√π = r

    2√(2/π) = r

    The diameter is twice the radius. Thus, the diameter is 2 x 2√(2/π) = 4√(2/π).

    Answer: E

    _________________

    Scott Woodbury Stewart Founder & CEO
    GMAT Quant Self-Study Course - 500+ lessons 3000+ practice problems 800+ HD solutions
    5-Day Free Trial 5-DAY FREE, FULL-ACCESS TRIAL TTP QUANT

    Best Conversation Starters

    1 Vincen 152 topics
    2 lheiannie07 61 topics
    3 Roland2rule 49 topics
    4 ardz24 40 topics
    5 LUANDATO 32 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    141 posts
    2 image description EconomistGMATTutor

    The Economist GMAT Tutor

    107 posts
    3 image description GMATGuruNY

    The Princeton Review Teacher

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

    EMPOWERgmat

    104 posts
    5 image description Matt@VeritasPrep

    Veritas Prep

    76 posts
    See More Top Beat The GMAT Experts