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## Cylinder with largest volume

tagged by: Brent@GMATPrepNow

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

Sat Feb 15, 2014 11:31 pm
Hello,

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

### GMAT/MBA Expert

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

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Abhishek009 Master | Next Rank: 500 Posts
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Sun Feb 16, 2014 9:45 am
[quote="gmattesttaker2"]Hello,

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 = Ï€ 3Â²5 => 45Ï€

Volume of Cylinder B = Ï€ 5Â²3 => 75Ï€

Hence Volume of b > Volume of A by 30Ï€

Hence answer will undoubtedly be (E)

_________________
Abhishek

### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
Joined
08 Dec 2008
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11517 messages
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GMAT Score:
770
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)rÂ²h

Right cylinder A: diameter 6 and height 5
This means the radius = 3
So, Volume = (pi)(3)Â²(5)
= 45pi

Right cylinder B: diameter 10 and height 3
This means the radius = 5
So, Volume = (pi)(5)Â²(3)
= 75pi

75pi - 45pi = 30pi

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

Cheers,
Brent

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Amrabdelnaby Master | Next Rank: 500 Posts
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Posted:
137 messages
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2 members
1
Thu Dec 24, 2015 9:06 am
vOL OF a IS 45pi and vol of B is 75pi

gmattesttaker2 wrote:
Hello,

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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