NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 01:23 It is currently 26 Apr 2024, 01:23
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 perfectly spherical satellite with a radius of 4 feet is being packe

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Sajjad1994
GRE Forum Moderator
Joined: 02 Nov 2016
Posts: 13961
Own Kudos [?]: 32929 [11]
Given Kudos: 5778
GPA: 3.62
Send PM
CAT Tests Forum Quiz Mode
A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink] New post   06 Mar 2017, 23:22
3
Kudos
8
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

65% (hard)

Question Stats:

56% (02:10) correct 44% (02:45) wrong based on 167 sessions
Hide Show timer Statistics
A perfectly spherical satellite with a radius of 4 feet is being packed for shipment to its launch site. If the inside dimensions of the rectangular crates available for shipment, when measured in feet, are consecutive even integers, then what is the volume of the smallest available crate that can be used?
(Note: the volume of a sphere is given by the equation v=(\(\frac{4}{3}\) πr^3 .)

(A) 48
(B) 192
(C) 480
(D) 960
(E) 1,680
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14823
Own Kudos [?]: 64926 [5]
Given Kudos: 426
Location: Pune, India
Send PM
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink] New post   07 Mar 2017, 01:49
4
Kudos
1
Bookmarks
Expert Reply
SajjadAhmad wrote:
A perfectly spherical satellite with a radius of 4 feet is being packed for shipment to its launch site. If the inside dimensions of the rectangular crates available for shipment, when measured in feet, are consecutive even integers, then what is the volume of the smallest available crate that can be used?
(Note: the volume of a sphere is given by the equation v=(4/3)pie r^3 .)

(A) 48
(B) 192
(C) 480
(D) 960
(E) 1,680


Since the radius of the satellite is 4 feet, the diameter is 8 feet. So the minimum inside dimensions of the crate need to be 8 by 8 by 8.

Since the inside dimensions of the crate are consecutive even integers, the smallest such crate that can be used would have the dimension 8 by 10 by 12.

The volume of such a crate would be 8*10*12 = 960 cubic feet

Answer (D)
General Discussion
User avatar
B
deependra1234
Intern
Intern
Joined: 07 Jun 2012
Posts: 40
Own Kudos [?]: 9 [0]
Given Kudos: 243
GMAT Date: 11-01-2012
Send PM
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink] New post   07 Mar 2017, 12:06
VeritasPrepKarishma wrote:
SajjadAhmad wrote:
A perfectly spherical satellite with a radius of 4 feet is being packed for shipment to its launch site. If the inside dimensions of the rectangular crates available for shipment, when measured in feet, are consecutive even integers, then what is the volume of the smallest available crate that can be used?
(Note: the volume of a sphere is given by the equation v=(4/3)pie r^3 .)

(A) 48
(B) 192
(C) 480
(D) 960
(E) 1,680


Since the radius of the satellite is 4 feet, the diameter is 8 feet. So the minimum inside dimensions of the crate need to be 8 by 8 by 8.

Since the inside dimensions of the crate are consecutive even integers, the smallest such crate that can be used would have the dimension 8 by 10 by 12.

The volume of such a crate would be 8*10*12 = 960 cubic feet

Answer (D)


I have no clue what was just discussed?VeritasPrepKarishma.. what is the Question please? any diagrams?
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14823
Own Kudos [?]: 64926 [0]
Given Kudos: 426
Location: Pune, India
Send PM
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink] New post   08 Mar 2017, 01:20
Expert Reply
deependra1234 wrote:
VeritasPrepKarishma wrote:
SajjadAhmad wrote:
A perfectly spherical satellite with a radius of 4 feet is being packed for shipment to its launch site. If the inside dimensions of the rectangular crates available for shipment, when measured in feet, are consecutive even integers, then what is the volume of the smallest available crate that can be used?
(Note: the volume of a sphere is given by the equation v=(4/3)pie r^3 .)

(A) 48
(B) 192
(C) 480
(D) 960
(E) 1,680


Since the radius of the satellite is 4 feet, the diameter is 8 feet. So the minimum inside dimensions of the crate need to be 8 by 8 by 8.

Since the inside dimensions of the crate are consecutive even integers, the smallest such crate that can be used would have the dimension 8 by 10 by 12.

The volume of such a crate would be 8*10*12 = 960 cubic feet

Answer (D)


I have no clue what was just discussed?VeritasPrepKarishma.. what is the Question please? any diagrams?



You have a sphere (satellite) which you have to fit into into a rectangular box (crate).
For the sphere to fit into the box, the diameter of the sphere should be less than or equal to the length, breadth and height of the box.
Hope it all makes sense now.
User avatar
S
KrishnakumarKA1
Senior Manager
Senior Manager
Joined: 05 Jan 2017
Posts: 416
Own Kudos [?]: 284 [0]
Given Kudos: 15
Location: India
Send PM
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink] New post   08 Mar 2017, 01:33
since the radius is 4 ft. the smallest side should be equal to the diameter. hence the shortest side will be 8ft and therefore the rest of the side will be 10ft and 12 ft.

volume will be 8 x 10 x 12 = 960 ft^3

Option D
User avatar
G
rhine29388
Senior Manager
Senior Manager
Joined: 24 Nov 2015
Posts: 408
Own Kudos [?]: 125 [0]
Given Kudos: 231
Location: United States (LA)
Send PM
Reviews Badge
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink] New post   08 Mar 2017, 03:19
radius of sphere = 4ft, so diameter is 8 ft
minimum dimension of the rectangular box will have to be 8 * 8 * 8 in order for the sphere to be perfectly fitted into the box , but the dimensions have to be consecutive integers
so the min value is 8, 10 and 12
volume of the rectangular box = 8 * 10 * 12 = 960
correct answer - D
User avatar
B
deependra1234
Intern
Intern
Joined: 07 Jun 2012
Posts: 40
Own Kudos [?]: 9 [0]
Given Kudos: 243
GMAT Date: 11-01-2012
Send PM
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink] New post   08 Mar 2017, 05:05
Goddd and i was solving something completely different and thinking how is it a sub 600 Qs... As usual ..thankyou so much VeritasPrepKarishma
User avatar
S
Nunuboy1994
Director
Director
Joined: 12 Nov 2016
Posts: 569
Own Kudos [?]: 118 [0]
Given Kudos: 167
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Send PM
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink] New post   12 Mar 2017, 01:36
VeritasPrepKarishma wrote:
SajjadAhmad wrote:
A perfectly spherical satellite with a radius of 4 feet is being packed for shipment to its launch site. If the inside dimensions of the rectangular crates available for shipment, when measured in feet, are consecutive even integers, then what is the volume of the smallest available crate that can be used?
(Note: the volume of a sphere is given by the equation v=(4/3)pie r^3 .)

(A) 48
(B) 192
(C) 480
(D) 960
(E) 1,680


Since the radius of the satellite is 4 feet, the diameter is 8 feet. So the minimum inside dimensions of the crate need to be 8 by 8 by 8.

Since the inside dimensions of the crate are consecutive even integers, the smallest such crate that can be used would have the dimension 8 by 10 by 12.

The volume of such a crate would be 8*10*12 = 960 cubic feet

Answer (D)


This is a logical and succinct explanation- thank you
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22055 [1]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink] New post   12 Sep 2018, 18:39
1
Kudos
Expert Reply
SajjadAhmad wrote:
A perfectly spherical satellite with a radius of 4 feet is being packed for shipment to its launch site. If the inside dimensions of the rectangular crates available for shipment, when measured in feet, are consecutive even integers, then what is the volume of the smallest available crate that can be used?
(Note: the volume of a sphere is given by the equation v=(4/3)pie r^3 .)

(A) 48
(B) 192
(C) 480
(D) 960
(E) 1,680


The shortest dimension of the rectangular crate has to be at least the diameter of the spherical satellite; therefore, that dimension has to be at least 8. Since the dimensions of the crate are consecutive even integers, the smallest possible volume of the crate is:

8 x 10 x 12 = 960

Answer: D
User avatar
P
energetics
Senior Manager
Senior Manager
Joined: 05 Feb 2018
Posts: 312
Own Kudos [?]: 794 [0]
Given Kudos: 325
Send PM
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink] New post   03 Feb 2019, 16:41
Seems like they try to mislead you by giving you the volume for the sphere at the end. If you sketch a picture you can quickly see that it's not about the volume, but rather the 2r length of the sphere (8) which is the minimum side length. Since the sides are consecutive ints: 8*10*12 = 960, D.
GMAT Club Bot
gmatclubot
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink]
03 Feb 2019, 16:41
Moderators:
Bunuel
Math Expert
92918 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