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Cylinder with largest volume

This topic has 2 expert replies and 2 member replies
gmattesttaker2 Legendary Member Default Avatar
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Cylinder with largest volume

Post 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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Amrabdelnaby Master | Next Rank: 500 Posts 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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GMAT/MBA Expert

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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Abhishek009 Master | Next Rank: 500 Posts
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50
Target GMAT Score:
900+
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

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GMAT/MBA Expert

Patrick_GMATFix GMAT Instructor
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21 May 2010
Posted:
1053 messages
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Post Sat Feb 15, 2014 11:36 pm
Correct.

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