It is currently 21 Jan 2018, 10:54

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If cylinder A has three times the height and one-third

Author Message
TAGS:

### Hide Tags

Intern
Joined: 13 Feb 2012
Posts: 20

Kudos [?]: 62 [0], given: 14

WE: Other (Transportation)
If cylinder A has three times the height and one-third [#permalink]

### Show Tags

18 Feb 2012, 10:59
1
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

71% (01:06) correct 29% (01:00) wrong based on 166 sessions

### HideShow timer Statistics

If cylinder A has three times the height and one-third the diameter of cylinder B, what is the ratio of the volume of A to the volume of B?
A 3:1
B 1:1
C 1:3
D 1:9
E 1:27
[Reveal] Spoiler: OA

Kudos [?]: 62 [0], given: 14

Math Expert
Joined: 02 Sep 2009
Posts: 43348

Kudos [?]: 139695 [0], given: 12794

Re: If cylinder A has three times the height and one-third [#permalink]

### Show Tags

18 Feb 2012, 11:10
tom09b wrote:
If cylinder A has three times the height and one-third the diameter of cylinder B, what is the ratio of the volume of A to the volume of B?
A 3:1
B 1:1
C 1:3
D 1:9
E 1:27

$$Volume_A=\pi{r}^2*h$$;
$$Volume_B=\pi{(3r)}^2*\frac{h}{3}=3\pi{r}^2*h$$;

Ratio 1:3.

_________________

Kudos [?]: 139695 [0], given: 12794

Manager
Joined: 24 Dec 2016
Posts: 74

Kudos [?]: 13 [0], given: 83

Location: India
Concentration: Finance, General Management
WE: Information Technology (Computer Software)
Re: If cylinder A has three times the height and one-third [#permalink]

### Show Tags

03 Mar 2017, 22:51
Bunuel wrote:
tom09b wrote:
If cylinder A has three times the height and one-third the diameter of cylinder B, what is the ratio of the volume of A to the volume of B?
A 3:1
B 1:1
C 1:3
D 1:9
E 1:27

$$Volume_A=\pi{r}^2*h$$;
$$Volume_B=\pi{(3r)}^2*\frac{h}{3}=3\pi{r}^2*h$$;

Ratio 1:3.

Hi Bunuel,

The question states that the height of cylinder A is 3 times the height of cylinder B and the diameter if A is $$\frac{1}{3}$$ of cylinder B.
In the equation you've setup, I see that you've taken the radius of B as 3r and squared it. Is this a typo or am I misunderstanding the question.

Kudos [?]: 13 [0], given: 83

Math Expert
Joined: 02 Sep 2009
Posts: 43348

Kudos [?]: 139695 [0], given: 12794

Re: If cylinder A has three times the height and one-third [#permalink]

### Show Tags

04 Mar 2017, 01:12
Shruti0805 wrote:
Bunuel wrote:
tom09b wrote:
If cylinder A has three times the height and one-third the diameter of cylinder B, what is the ratio of the volume of A to the volume of B?
A 3:1
B 1:1
C 1:3
D 1:9
E 1:27

$$Volume_A=\pi{r}^2*h$$;
$$Volume_B=\pi{(3r)}^2*\frac{h}{3}=3\pi{r}^2*h$$;

Ratio 1:3.

Hi Bunuel,

The question states that the height of cylinder A is 3 times the height of cylinder B and the diameter if A is $$\frac{1}{3}$$ of cylinder B.
In the equation you've setup, I see that you've taken the radius of B as 3r and squared it. Is this a typo or am I misunderstanding the question.

Cylinder A has three times the height of cylinder B, so if the height of A is h then the height of B is h/3;
Cylinder A has one-third the diameter of cylinder B, so if the diameter of A is d, then the diameter of B is 3d. The same ratio will be for the radius too: if the radius of A is r, then the radius of B is 3r.

As for the squaring: it's because the formula for the volume of a cylinder is $$\pi{r}^2*h$$.

Hope it helps.
_________________

Kudos [?]: 139695 [0], given: 12794

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3250

Kudos [?]: 1182 [0], given: 327

Location: India
GPA: 3.5
Re: If cylinder A has three times the height and one-third [#permalink]

### Show Tags

04 Mar 2017, 07:52
tom09b wrote:
If cylinder A has three times the height and one-third the diameter of cylinder B, what is the ratio of the volume of A to the volume of B?
A 3:1
B 1:1
C 1:3
D 1:9
E 1:27

For Cylinder B -

Height = x

$$Volume_B = π*(3x)^2*x => 9x^3π$$

For Cylinder A -

Height = 3x

$$Volume_A = π*(x)^2*3x => 3x^3π$$

$$\frac{Volume_A}{Volume_B} = \frac{3x^3π}{9x^3π}$$

So, $$\frac{Volume_A}{Volume_B} = 1:3$$

Thus, answer will be (C) 1 : 3
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Kudos [?]: 1182 [0], given: 327

Intern
Joined: 09 Jan 2017
Posts: 13

Kudos [?]: [0], given: 2

Re: If cylinder A has three times the height and one-third [#permalink]

### Show Tags

04 Mar 2017, 08:54
Bunuel wrote:
tom09b wrote:
If cylinder A has three times the height and one-third the diameter of cylinder B, what is the ratio of the volume of A to the volume of B?
A 3:1
B 1:1
C 1:3
D 1:9
E 1:27

$$Volume_A=\pi{r}^2*h$$;
$$Volume_B=\pi{(3r)}^2*\frac{h}{3}=3\pi{r}^2*h$$;

Ratio 1:3.

Pay attention Bunuel
The question states that the cylinder A has 3 times the height and 1/3 the DIAMETER of cylinder B
It means that 1/3 DIAMETER= 2/3 RADIUS !!!!!

Kudos [?]: [0], given: 2

Math Expert
Joined: 02 Sep 2009
Posts: 43348

Kudos [?]: 139695 [0], given: 12794

Re: If cylinder A has three times the height and one-third [#permalink]

### Show Tags

05 Mar 2017, 02:41
marcuccio wrote:
Bunuel wrote:
tom09b wrote:
If cylinder A has three times the height and one-third the diameter of cylinder B, what is the ratio of the volume of A to the volume of B?
A 3:1
B 1:1
C 1:3
D 1:9
E 1:27

$$Volume_A=\pi{r}^2*h$$;
$$Volume_B=\pi{(3r)}^2*\frac{h}{3}=3\pi{r}^2*h$$;

Ratio 1:3.

Pay attention Bunuel
The question states that the cylinder A has 3 times the height and 1/3 the DIAMETER of cylinder B
It means that 1/3 DIAMETER= 2/3 RADIUS !!!!!

The question implies that cylinder A has three times the height than the height of B and cylinder A has one-third the diameter than the diameter of B.
_________________

Kudos [?]: 139695 [0], given: 12794

Intern
Joined: 09 Jan 2017
Posts: 13

Kudos [?]: [0], given: 2

Re: If cylinder A has three times the height and one-third [#permalink]

### Show Tags

05 Mar 2017, 02:44
Bunuel wrote:
marcuccio wrote:
Bunuel wrote:
[quote="tom09b"]If cylinder A has three times the height and one-third the diameter of cylinder B, what is the ratio of the volume of A to the volume of B?
A 3:1
B 1:1
C 1:3
D 1:9
E 1:27

$$Volume_A=\pi{r}^2*h$$;
$$Volume_B=\pi{(3r)}^2*\frac{h}{3}=3\pi{r}^2*h$$;

Ratio 1:3.

Pay attention Bunuel
The question states that the cylinder A has 3 times the height and 1/3 the DIAMETER of cylinder B
It means that 1/3 DIAMETER= 2/3 RADIUS !!!!!

The question implies that cylinder A has three times the height than the height of B and cylinder A has one-third the diameter than the diameter of B.[/quote]

What does it mean "one-third the diameter"???
It implies that 2/3 the radius.
Volume's formula use radius not diameter

Sent from my iPhone using GMAT Club Forum mobile app

Kudos [?]: [0], given: 2

Math Expert
Joined: 02 Sep 2009
Posts: 43348

Kudos [?]: 139695 [0], given: 12794

Re: If cylinder A has three times the height and one-third [#permalink]

### Show Tags

05 Mar 2017, 02:52
marcuccio wrote:

What does it mean "one-third the diameter"???
It implies that 2/3 the radius.
Volume's formula use radius not diameter

Sent from my iPhone using GMAT Club Forum mobile app

Dear marcuccio,

Cylinder A has one-third the diameter of cylinder B, so if the diameter of A is 2, then the diameter of B is 6 --> the radius of A is 1, then the radius of B is 3.
_________________

Kudos [?]: 139695 [0], given: 12794

Intern
Joined: 10 Oct 2017
Posts: 4

Kudos [?]: 5 [0], given: 15

Location: United States
Concentration: Entrepreneurship, Economics
GPA: 3.43
Re: If cylinder A has three times the height and one-third [#permalink]

### Show Tags

17 Nov 2017, 11:03
To solve by plugging in:

Cylinder A:
H=3
D=2
V=1^2 x 3 x pi= 3pi

Cylinder B:
H=1
D=6
V=3^2 X 1 x pi= 9pi

Compare: 3pi:9pi reduced is 1:3

Kudos [?]: 5 [0], given: 15

Re: If cylinder A has three times the height and one-third   [#permalink] 17 Nov 2017, 11:03
Display posts from previous: Sort by