It is currently 20 Oct 2017, 16:56

### 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

# A circular tub has a band painted around its circumference

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129034 [0], given: 12187

A circular tub has a band painted around its circumference [#permalink]

### Show Tags

26 Aug 2012, 03:19
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

88% (00:34) correct 12% (00:49) wrong based on 908 sessions

### HideShow timer Statistics

Attachment:

TUB.png [ 14.01 KiB | Viewed 10486 times ]
A circular tub has a band painted around its circumference, as shown above. What is the surface area of this painted band?

(1) x = 0.5
(2) The height of the tub is 1 meter.

Practice Questions
Question: 30
Page: 277
Difficulty: 600
[Reveal] Spoiler: OA

_________________

Kudos [?]: 129034 [0], given: 12187

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129034 [1], given: 12187

Re: A circular tub has a band painted around its circumference [#permalink]

### Show Tags

31 Aug 2012, 03:10
1
KUDOS
Expert's post
2
This post was
BOOKMARKED
SOLUTION:

A circular tub has a band painted around its circumference, as shown above. What is the surface area of this painted band?

The surface area of the band is circumference of the band (circumference of the tub) multiplied by the width of the band.

(1) x = 0.5. We know the width of the band but not the circumference. Not sufficient.

(2) The height of the tub is 1 meter. From the height of the tub we cannot get neither the width of the band nor the circumference of the tub. Not sufficient.

(1)+(2) We still cannot get the circumference of the tub. Not sufficient.

_________________

Kudos [?]: 129034 [1], given: 12187

Manager
Joined: 16 Feb 2012
Posts: 220

Kudos [?]: 409 [1], given: 121

Concentration: Finance, Economics
Re: A circular tub has a band painted around its circumference [#permalink]

### Show Tags

31 Aug 2012, 03:44
1
KUDOS
The answer is E since we don't know the radius of the tub.
_________________

Kudos if you like the post!

Failing to plan is planning to fail.

Kudos [?]: 409 [1], given: 121

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129034 [1], given: 12187

Re: A circular tub has a band painted around its circumference [#permalink]

### Show Tags

03 Jun 2015, 02:45
1
KUDOS
Expert's post
anewbeginning wrote:
How do I recognize the surface area

As Bunuel told it is (Circumference) (x), where x is the width.

Why can't I say that it is equal to ( (pi) * r^2) (x) ?

If you consider the band in 2 dimensions, you get a rectangle of length equal to the circumference and with of x. So, the area is $$(2\pi{r})x$$.

$$\pi{r^2})$$ is the area of the top and the base of the cylinder and it has nothing to do with the area of the band.
_________________

Kudos [?]: 129034 [1], given: 12187

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1648

Kudos [?]: 842 [1], given: 3

Location: United States (CA)
A circular tub has a band painted around its circumference [#permalink]

### Show Tags

09 Aug 2016, 13:36
1
KUDOS
Expert's post
Bunuel wrote:
Attachment:
TUB.png
A circular tub has a band painted around its circumference, as shown above. What is the surface area of this painted band?

(1) x = 0.5
(2) The height of the tub is 1 meter.

We are given a cylinder with a shaded band painted around its circumference. We know that the height of the band is x meters, and we also know that the shape of the band is a hollow cylinder (i.e., a cylinder without the top and bottom circular bases). We need to determine the surface area of the band. We know the surface area of a cylinder (when it has the top and bottom circular bases) is:

surface area = 2πr^2 + 2πrh

Notice that the 2πr^2 is the area of the two circular bases of the cylinder (had it been a solid one). However, here the cylindrical band is hollow, thus its surface area is:

surface area = 2πrh

We can replace h with x since that is the height of the band, so we have:

surface area of band = 2πrx

So if we can determine the value of r and x, we can determine the surface area of the band.

Statement One Alone:

x= 0.5

While we have the value of x, without knowing the value of r, we cannot determine the surface area of the band. Statement one is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

The height of the tub is 1 meter.

Knowing the height of the tub does not provide us with the value of x or r. Statement two is not sufficient to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

Using statements one and two together we still do not have a value for r and thus cannot determine the value of the surface area of the band.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 842 [1], given: 3

Intern
Joined: 28 Aug 2012
Posts: 45

Kudos [?]: 48 [0], given: 3

Location: Austria
GMAT 1: 770 Q51 V42
Re: A circular tub has a band painted around its circumference [#permalink]

### Show Tags

31 Aug 2012, 03:18
I don't think, this is 650 level. Seems pretty easy to me.

We even don't have to calculate anything here.

Kudos [?]: 48 [0], given: 3

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129034 [0], given: 12187

Re: A circular tub has a band painted around its circumference [#permalink]

### Show Tags

31 Aug 2012, 03:25
Zinsch123 wrote:
I don't think, this is 650 level. Seems pretty easy to me.

We even don't have to calculate anything here.

Changed the difficulty level to 600. Thank you.
_________________

Kudos [?]: 129034 [0], given: 12187

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16636

Kudos [?]: 273 [0], given: 0

Re: A circular tub has a band painted around its circumference [#permalink]

### Show Tags

30 Jun 2014, 10:18
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

BSchool Forum Moderator
Joined: 28 Nov 2014
Posts: 916

Kudos [?]: 208 [0], given: 79

Concentration: Strategy
Schools: Fisher '19 (M)
GPA: 3.71
Re: A circular tub has a band painted around its circumference [#permalink]

### Show Tags

03 Jun 2015, 00:35
How do I recognize the surface area

As Bunuel told it is (Circumference) (x), where x is the width.

Why can't I say that it is equal to ( (pi) * r^2) (x) ?

Kudos [?]: 208 [0], given: 79

Manager
Joined: 22 Nov 2016
Posts: 203

Kudos [?]: 37 [0], given: 38

Location: United States
GPA: 3.4
Re: A circular tub has a band painted around its circumference [#permalink]

### Show Tags

07 Jul 2017, 14:19
Area of a cylinder = $$2 * \pi r(r+h)$$

Statement 1) Tells us x=0.5
We dont know what is r................Insufficient

Statement 2) Tells us h=1
We still dont know the value of r................Insufficient

Combining 1 and 2, we still dont know what is r. Hence, answer is E
_________________

Kudosity killed the cat but your kudos can save it.

Kudos [?]: 37 [0], given: 38

Manager
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 122

Kudos [?]: 7 [0], given: 8

Location: India
Re: A circular tub has a band painted around its circumference [#permalink]

### Show Tags

27 Jul 2017, 21:02
I have a question here. So the tub in the figure is a cylinder right?? So if the question had been to find the surface area of the cylinder rather than finding the SA of the painted band then the statements would be sufficient
??

Kudos [?]: 7 [0], given: 8

Re: A circular tub has a band painted around its circumference   [#permalink] 27 Jul 2017, 21:02
Display posts from previous: Sort by