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Cylinder with largest volume

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by gmattesttaker2 » Sat Feb 15, 2014 11:31 pm
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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by Patrick_GMATFix » Sat Feb 15, 2014 11:36 pm
Correct.
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by Abhishek009 » Sun Feb 16, 2014 9:45 am
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[/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
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by Brent@GMATPrepNow » 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 - Creator of GMATPrepNow.com
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by Amrabdelnaby » Thu Dec 24, 2015 9:06 am
vOL OF a IS 45pi and vol of B is 75pi :)
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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