Last visit was: 08 Nov 2024, 08:59 It is currently 08 Nov 2024, 08:59

Close

GRE Prep 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 GRE 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
Verbal Expert
Joined: 18 Apr 2015
Posts: 29912
Own Kudos [?]: 36149 [1]
Given Kudos: 25890
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29912
Own Kudos [?]: 36149 [0]
Given Kudos: 25890
Send PM
avatar
Manager
Manager
Joined: 17 Feb 2020
Posts: 64
Own Kudos [?]: 69 [0]
Given Kudos: 0
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29912
Own Kudos [?]: 36149 [0]
Given Kudos: 25890
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink]
Expert Reply
Fixed . it was \(\pi\)

many thanks.

Kudo
avatar
Retired Moderator
Joined: 16 Oct 2019
Posts: 63
Own Kudos [?]: 175 [4]
Given Kudos: 21
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink]
3
1
Bookmarks
volume of water in the glass cylinder = πr^2h1 = 200π; r^2 = 200/h1

volume of solid metal cylinder = π*3*3*7 = 63π
resulting water and metal volume in glass cylinder = 200π + 63π = 263π
if the water level reached up by h2 height, the filled volume in the glass cylinder = πr^2h2 = 263π;
h2 = 263/r^2 = (263/200)h1
percentage of water level rises in glass cylinder = (h2-h1)/h1 * 100

h2-h1)/h1 * 100
[(263/200)h1 - h1]/h1 * 100
63/200 * 100 = 31.5
Attachments

Slide1.JPG
Slide1.JPG [ 35.68 KiB | Viewed 4364 times ]

avatar
Manager
Manager
Joined: 09 Mar 2020
Posts: 164
Own Kudos [?]: 201 [3]
Given Kudos: 0
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink]
2
1
Bookmarks
Volume of cylinder = π*r^2*h
Thus, 7*9*π = 63π
The water level in the glass increases from 200π by 200π+63π = 263π.
Percent increases = 263π-200π/200π * 100 = 63/200*100 = 31.5.

Originally posted by sukrut96 on 17 May 2020, 21:11.
Last edited by sukrut96 on 08 Jul 2020, 00:59, edited 1 time in total.
Verbal Expert
Joined: 18 Apr 2015
Posts: 29912
Own Kudos [?]: 36149 [0]
Given Kudos: 25890
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink]
Expert Reply
Awesomeee


vndnjn wrote:
volume of water in the glass cylinder = πr^2h1 = 200π; r^2 = 200/h1

volume of solid metal cylinder = π*3*3*7 = 63π
resulting water and metal volume in glass cylinder = 200π + 63π = 263π
if the water level reached up by h2 height, the filled volume in the glass cylinder = πr^2h2 = 263π;
h2 = 263/r^2 = (263/200)h1
percentage of water level rises in glass cylinder = (h2-h1)/h1 * 100

h2-h1)/h1 * 100
[(263/200)h1 - h1]/h1 * 100
63/200 * 100 = 31.5
avatar
Retired Moderator
Joined: 16 Oct 2019
Posts: 63
Own Kudos [?]: 175 [0]
Given Kudos: 21
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink]
1
[quote="Carcass"]Awesomeee

Thank You Carcass :-D
avatar
Intern
Intern
Joined: 02 Jul 2020
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink]
i have a doubt
is it possible any of these questions from the entire challenge are from the two free powerprep tests?
because i have'nt given them yet and would want to steer clear of them
User avatar
Senior Manager
Senior Manager
Joined: 10 Feb 2020
Posts: 496
Own Kudos [?]: 346 [0]
Given Kudos: 299
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink]
2
sukrut96 wrote:
Area of cylinder = π*r^2*h
Thus, 7*9*π = 63π
The water level in the glass increases from 200π by 200π+63π = 263π.
Percent increases = 263π-200π/200π * 100 = 63/200*100 = 31.5.


Nice explanation, the only error is π*r^2*h is the formula of Volume of cylinder and not the Area

Originally posted by Farina on 08 Jul 2020, 00:05.
Last edited by Farina on 08 Jul 2020, 07:00, edited 2 times in total.
Verbal Expert
Joined: 18 Apr 2015
Posts: 29912
Own Kudos [?]: 36149 [0]
Given Kudos: 25890
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink]
Expert Reply
tanvi1998 wrote:
i have a doubt
is it possible any of these questions from the entire challenge are from the two free powerprep tests?
because i have'nt given them yet and would want to steer clear of them


No,

the source is mGRE 100%

All the questions from powerprep are here https://gre.myprepclub.com/forum/gre-power ... html#p6284

See also Free GRE Materials - Where to get it!

https://gre.myprepclub.com/forum/free-gmat ... tml#p53911

Regards
avatar
Manager
Manager
Joined: 22 Jan 2020
Posts: 120
Own Kudos [?]: 239 [0]
Given Kudos: 10
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink]
Yes the answer is 63/200 as mentioned by others.

Adding to that: the answer can be obtained by simply doing percentage change in volume

(263pi - 200pi)/200pi = 63/200

That is, the percentage change in volume is the percentage change in height.

Why is this the case?

B/c percentage change in volume is happening solely due to percentage change in the height, since the height of the water level is the only variable changing when the metal cylinder is added to the water.
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5012
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink]
Moderators:
GRE Instructor
77 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

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