NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 15:39 It is currently 25 Apr 2024, 15:39
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A solid metal cylinder with radius 6 and height 3 is melted down, and

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619020 [0]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
A solid metal cylinder with radius 6 and height 3 is melted down, and [#permalink] New post   25 Nov 2020, 01:15
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

92% (00:59) correct 8% (01:01) wrong based on 64 sessions
Hide Show timer Statistics
A solid metal cylinder with radius 6 and height 3 is melted down, and all of the metal is used to recast a new solid cylinder with radius 3. What is the height of the new cylinder?

A. 6
B. 8
C. 10
D. 12
E. 15


Project PS Butler


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS
ShowHide Answer
Official Answer
D
User avatar
D
exc4libur
SVP
SVP
Joined: 24 Nov 2016
Posts: 1720
Own Kudos [?]: 1344 [1]
Given Kudos: 607
Location: United States
Send PM
Re: A solid metal cylinder with radius 6 and height 3 is melted down, and [#permalink] New post   25 Nov 2020, 05:32
1
Kudos
Bunuel wrote:
A solid metal cylinder with radius 6 and height 3 is melted down, and all of the metal is used to recast a new solid cylinder with radius 3. What is the height of the new cylinder?

A. 6
B. 8
C. 10
D. 12
E. 15


Project PS Butler


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS


pir^2*h=cylinder.volume
36pi3=9pih
h=12

(D)
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [1]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: A solid metal cylinder with radius 6 and height 3 is melted down, and [#permalink] New post   25 Nov 2020, 08:42
1
Kudos
Bunuel wrote:
A solid metal cylinder with radius 6 and height 3 is melted down, and all of the metal is used to recast a new solid cylinder with radius 3. What is the height of the new cylinder?

A. 6
B. 8
C. 10
D. 12
E. 15


Project PS Butler


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS

\(π6^2*3 = π3^2*h\)

Or, \(6*2 = h\)

Or, \(h = 12\), Answer must be (D)
User avatar
L
akadiyan
Retired Moderator
Joined: 31 May 2017
Posts: 749
Own Kudos [?]: 670 [1]
Given Kudos: 53
Concentration: Technology, Strategy
Schools: IIMA PGPX'23 Bayes Said '23
Send PM
GMAT ToolKit User Reviews Badge
Re: A solid metal cylinder with radius 6 and height 3 is melted down, and [#permalink] New post   25 Nov 2020, 10:20
1
Kudos
A solid metal cylinder with radius 6 and height 3 is melted down, and all of the metal is used to recast a new solid cylinder with radius 3. What is the height of the new cylinder?

Volume of cylinder = \(\pi r^2 h\)

Volume of initial cylinder = \(\pi6^2\) 3 = 108\(\pi\)

Volume of new cylinder = \(\pi 3^2 h \) = 9h\(\pi\)

108\(\pi\) = 9h\(\pi\)

Solving for h, we get H= 12

Ans D
User avatar
L
CrackverbalGMAT
GMAT Club Legend
GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4946
Own Kudos [?]: 7627 [0]
Given Kudos: 215
Location: India
Send PM
Re: A solid metal cylinder with radius 6 and height 3 is melted down, and [#permalink] New post   25 Nov 2020, 03:02
Top Contributor
CONCEPT: Volume of 3D figures.
-Volume of a cylinder= ∏r^2h (r=radius of base; h=height of cylinder)

SOLUTION:
Volume of the old cylinder(V1)= ∏*(6)^2*3=∏*36*3
Volume of the new cylinder(V2) = ∏*(3)^2*h =∏*9*h ;(h=height of the new cylinder)
Volume of the metal remaining unchanged, we have V1=V2
Thus, ∏*36*3 = ∏*9*h
=>h=12 units.(D)

Hope this helps. :)
Keep studying :thumbsup:
Devmitra Sen
User avatar
G
Pankaj0901
Senior Manager
Senior Manager
Joined: 18 Dec 2018
Posts: 425
Own Kudos [?]: 43 [0]
Given Kudos: 738
Location: India
WE:Account Management (Hospitality and Tourism)
Send PM
Re: A solid metal cylinder with radius 6 and height 3 is melted down, and [#permalink] New post   25 Nov 2020, 06:04
IMO ANS D
(pie) X (6X6) = (pie) X (3x3) X H
=> H = 12


Bunuel wrote:
A solid metal cylinder with radius 6 and height 3 is melted down, and all of the metal is used to recast a new solid cylinder with radius 3. What is the height of the new cylinder?

A. 6
B. 8
C. 10
D. 12
E. 15


Project PS Butler


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS
GMAT Club Bot
gmatclubot
Re: A solid metal cylinder with radius 6 and height 3 is melted down, and [#permalink]
25 Nov 2020, 06:04
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions