NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 19:16 It is currently 25 Apr 2024, 19:16
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

Method to solve 3 spheres of dough problem

User avatar
tonebeeze
Manager
Manager
Joined: 19 Nov 2009
Status:Current MBA Student
Posts: 79
Own Kudos [?]: 2782 [0]
Given Kudos: 210
Concentration: Finance, General Management
Schools: Tuck '15 (A) CBS '15 (A) Wharton '15 (M) Booth '15 (A) Haas '15 (A) Stanford '15 (D)
GMAT 1: 720 Q49 V40
Send PM
Method to solve 3 spheres of dough problem [#permalink] New post   30 Dec 2010, 00:06
Is the proper method to solving this problem: (1) find the volume of each sphere (2) add the volumes of the three spheres (3) calculate the radius from the new total volume?

There are three spheres of dough with diameters of 2, 4, and 6 cm. If the three are combined into one large sphere, what is the radius of the large sphere?



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
whiplash2411
SVP
SVP
Joined: 09 Jun 2010
Status:Three Down.
Posts: 1764
Own Kudos [?]: 3468 [0]
Given Kudos: 210
Concentration: General Management, Nonprofit
Schools: HBS '17 (M) Stanford '17 (A)
Send PM
GMAT ToolKit User
Re: Method to solve 3 spheres of dough problem [#permalink] New post   30 Dec 2010, 00:27
Yep! That'd work :)
User avatar
TheBirla
Intern
Intern
Joined: 23 Oct 2010
Posts: 25
Own Kudos [?]: 1 [0]
Given Kudos: 1
Location: London
 Q50  V35
WE 1: Consulting - 1.5 Yrs
WE 2: IB Finance - 5 Yrs
Send PM
Re: Method to solve 3 spheres of dough problem [#permalink] New post   30 Dec 2010, 01:29
(2^3 + 3^3 + 6^3) = R^3

Don't know an easier way.

Posted from my mobile device
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619038 [1]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Re: Method to solve 3 spheres of dough problem [#permalink] New post   30 Dec 2010, 01:51
1
Kudos
Expert Reply
tonebeeze wrote:
Is the proper method to solving this problem: (1) find the volume of each sphere (2) add the volumes of the three spheres (3) calculate the radius from the new total volume?

There are three spheres of dough with diameters of 2, 4, and 6 cm. If the three are combined into one large sphere, what is the radius of the large sphere?


Yes, R^3=(2/2)^3+(4/2)^3+(6/2)^3:

\(volume_{sphere}=\frac{4}{3}\pi{r^3}\);

\(volume \ of \ the \ large \ sphere=\frac{4}{3}\pi{1^3}+\frac{4}{3}\pi{2^3}+\frac{4}{3}\pi{3^3}=\frac{4}{3}\pi{(1^3+2^3+3^3)}\);

\(volume \ of \ the \ large \ sphere=\frac{4}{3}\pi{(1^3+2^3+3^3)}=\frac{4}{3}\pi{R^3}\) --> \(R^3=1^3+2^3+3^3=36\).



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: Method to solve 3 spheres of dough problem [#permalink]
30 Dec 2010, 01:51
Moderator:
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