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Cylinder with largest volume

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gmattesttaker2 GMAT Destroyer! Default Avatar
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Cylinder with largest volume Post Sat Feb 15, 2014 11:31 pm
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    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

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

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    Abhishek009 GMAT Destroyer!
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    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)

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    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

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    Amrabdelnaby Really wants to Beat The GMAT! Default Avatar
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    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

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