GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 18 Dec 2018, 03:42

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Happy Christmas 20% Sale! Math Revolution All-In-One Products!

     December 20, 2018

     December 20, 2018

     10:00 PM PST

     11:00 PM PST

    This is the most inexpensive and attractive price in the market. Get the course now!
  • Key Strategies to Master GMAT SC

     December 22, 2018

     December 22, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

The volume of a cylindrical tank is directly proportional to the heigh

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51281
The volume of a cylindrical tank is directly proportional to the heigh  [#permalink]

Show Tags

New post 10 Dec 2017, 00:27
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

86% (01:33) correct 14% (02:21) wrong based on 34 sessions

HideShow timer Statistics

The volume of a cylindrical tank is directly proportional to the height and the square of the radius of the tank. If a certain tank with a radius of 10 centimeters has a volume of 20,000 cubic centimeters, what is the volume, in cubic centimeters, of a tank of the same height with a radius of 15 centimeters?

(A) 300,000
(B) 45,000
(C) 30,000
(D) 15,000
(E) 4,500

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
B
Joined: 24 Nov 2016
Posts: 152
Re: The volume of a cylindrical tank is directly proportional to the heigh  [#permalink]

Show Tags

New post 10 Dec 2017, 03:46
Bunuel wrote:
The volume of a cylindrical tank is directly proportional to the height and the square of the radius of the tank. If a certain tank with a radius of 10 centimeters has a volume of 20,000 cubic centimeters, what is the volume, in cubic centimeters, of a tank of the same height with a radius of 15 centimeters?

(A) 300,000
(B) 45,000
(C) 30,000
(D) 15,000
(E) 4,500


\(\frac{10cm}{20,000cm^3}=\frac{15cm}{x}, 10cm*x=20,000cm^3*15, x=30,000cm^3\)

(C) is the answer.
Intern
Intern
avatar
B
Joined: 27 Sep 2015
Posts: 5
Reviews Badge
The volume of a cylindrical tank is directly proportional to the heigh  [#permalink]

Show Tags

New post 10 Dec 2017, 04:06
V ∝ h*r^2 , where v= volume, h= height and r= radius of a cylinder .
So V= (hr^2 )k where k= constant .

So V1= 20000 cm^3= {h(10 cm)^2}k
V2= {h(15 cm)^2 }k

Dividing V1 by V2 we get,

V1/V2= (10/15)^2,
20000/V2= (2/3)^2=4/9,
So V2= 45000 cm^3,

(B) is the answer .



Sent from my iPhone using GMAT Club Forum
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2222
Premium Member CAT Tests
The volume of a cylindrical tank is directly proportional to the heigh  [#permalink]

Show Tags

New post 10 Dec 2017, 10:44
Bunuel wrote:
The volume of a cylindrical tank is directly proportional to the height and the square of the radius of the tank. If a certain tank with a radius of 10 centimeters has a volume of 20,000 cubic centimeters, what is the volume, in cubic centimeters, of a tank of the same height with a radius of 15 centimeters?

(A) 300,000
(B) 45,000
(C) 30,000
(D) 15,000
(E) 4,500

All measures are in centimeters; units omitted.

Direct proportion: When \(y\) increases, \(x\) increases

\(y = kx\)*, and \(\frac{y}{x}=k\)
\(k\) is the constant of proportionality: it does not change

Find \(k\) from the first scenario, and use \(k\) to find volume in the second scenario

Scenario 1 - find \(k\)
The volume of a cylindrical tank is directly proportional to the height and the square of the radius of the tank

\(V = (k)(h)(r^2)\) , and

\(\frac{V}{(h)(r^2)} = k\)

Height does not change. Remove it.
\(V_1 = 20,000\)
\(r_1 = 10\)

\(\frac{V_1}{(r_1)^2}= k\)

\(\frac{20,000}{(100)} = 200 = k\)

Scenario 2 - Use the same formula; and \(k\); and the given new radius to find new volume, \(V_2\)

\(k = 200\)
\(r_2 = 15\)
New volume, \(V_2\)?

\(\frac{V_2}{(r_2)^2} = k\)

\(\frac{V_2}{225} = 200\)

\(V_2 = (225)(200) = 45,000\)

Answer B

*Sometimes written \(y ∝ x\)
GMAT Club Bot
The volume of a cylindrical tank is directly proportional to the heigh &nbs [#permalink] 10 Dec 2017, 10:44
Display posts from previous: Sort by

The volume of a cylindrical tank is directly proportional to the heigh

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.