Last visit was: 20 Jul 2024, 00:32 It is currently 20 Jul 2024, 00:32
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# A perfectly spherical satellite with a radius of 4 feet is being packe

SORT BY:
Tags:
Show Tags
Hide Tags
GRE Forum Moderator
Joined: 02 Nov 2016
Posts: 14065
Own Kudos [?]: 36649 [11]
Given Kudos: 5830
GPA: 3.62
Tutor
Joined: 16 Oct 2010
Posts: 15125
Own Kudos [?]: 66741 [5]
Given Kudos: 436
Location: Pune, India
General Discussion
Intern
Joined: 07 Jun 2012
Posts: 40
Own Kudos [?]: 9 [0]
Given Kudos: 243
GMAT Date: 11-01-2012
Tutor
Joined: 16 Oct 2010
Posts: 15125
Own Kudos [?]: 66741 [0]
Given Kudos: 436
Location: Pune, India
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink]
deependra1234 wrote:
VeritasPrepKarishma 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

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.
Senior Manager
Joined: 05 Jan 2017
Posts: 412
Own Kudos [?]: 285 [0]
Given Kudos: 15
Location: India
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink]
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
Senior Manager
Joined: 24 Nov 2015
Posts: 405
Own Kudos [?]: 125 [0]
Given Kudos: 231
Location: United States (LA)
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink]
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
Intern
Joined: 07 Jun 2012
Posts: 40
Own Kudos [?]: 9 [0]
Given Kudos: 243
GMAT Date: 11-01-2012
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink]
Goddd and i was solving something completely different and thinking how is it a sub 600 Qs... As usual ..thankyou so much VeritasPrepKarishma
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
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink]
VeritasPrepKarishma 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

This is a logical and succinct explanation- thank you
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19175
Own Kudos [?]: 22679 [1]
Given Kudos: 286
Location: United States (CA)
Re: A perfectly spherical satellite with a radius of 4 feet is being packe [#permalink]
1
Kudos
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