Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 30 Jul 2015, 12:41

### 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

# Method to solve 3 spheres of dough problem

Author Message
TAGS:
Current Student
Status: Current MBA Student
Joined: 19 Nov 2009
Posts: 127
Concentration: Finance, General Management
GMAT 1: 720 Q49 V40
Followers: 11

Kudos [?]: 114 [0], given: 210

Method to solve 3 spheres of dough problem [#permalink]  29 Dec 2010, 23:06
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
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?
Ms. Big Fat Panda
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1923
Concentration: General Management, Nonprofit
Followers: 393

Kudos [?]: 1606 [0], given: 210

Re: Method to solve 3 spheres of dough problem [#permalink]  29 Dec 2010, 23:27
Expert's post
Yep! That'd work
Intern
Joined: 23 Oct 2010
Posts: 31
Location: London
WE 1: Consulting - 1.5 Yrs
WE 2: IB Finance - 5 Yrs
Followers: 0

Kudos [?]: 0 [0], given: 1

Re: Method to solve 3 spheres of dough problem [#permalink]  30 Dec 2010, 00:29
(2^3 + 3^3 + 6^3) = R^3

Don't know an easier way.

Posted from my mobile device
Math Expert
Joined: 02 Sep 2009
Posts: 28780
Followers: 4589

Kudos [?]: 47338 [1] , given: 7121

Re: Method to solve 3 spheres of dough problem [#permalink]  30 Dec 2010, 00:51
1
KUDOS
Expert's post
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:

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

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

$$volume \ of \ the \ large \ sphere=\frac{4}{3}\pi{(1^3+2^3+3^3)}=\frac{4}{3}\pi{R^3}$$ --> $$R^3=1^3+2^3+3^3=36$$.
_________________
Re: Method to solve 3 spheres of dough problem   [#permalink] 30 Dec 2010, 00:51
Similar topics Replies Last post
Similar
Topics:
1 The odds against ram solving the problem are 4 to 3 and the 4 02 May 2012, 06:52
Pls help me to solve this problem.(3) 3 31 Jul 2011, 02:35
1 Problem solving - 3 groups of 3 9 19 Jul 2011, 04:20
how to solve with martix method 5 08 Mar 2011, 08:53
Method & Technique To Solve Profit-Los Problems 1 10 Jul 2010, 20:25
Display posts from previous: Sort by