NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 06:07 It is currently 26 Apr 2024, 06:07
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

What is the greatest distance between any two points on a cylinder wit

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92933
Own Kudos [?]: 619157 [1]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
What is the greatest distance between any two points on a cylinder wit [#permalink] New post   10 Apr 2018, 04:01
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

80% (00:57) correct 20% (00:54) wrong based on 64 sessions
Hide Show timer Statistics
What is the greatest distance between any two points on a cylinder with radius 3 and height 8?

A. √73

B. √80

C. 9

D. √91

E. 10
ShowHide Answer
Official Answer
E
User avatar
G
SonalSinha803
Senior Manager
Senior Manager
Joined: 14 Feb 2018
Posts: 314
Own Kudos [?]: 290 [0]
Given Kudos: 29
Send PM
Re: What is the greatest distance between any two points on a cylinder wit [#permalink] New post   10 Apr 2018, 04:08
The greatest distance will be that from one corner of the cylinder to the exact opposite (diagonally).

√(8^2 + (3+3)^2) = √(64 + 36) = √100 = 10.

Hence option E.

Sent from my Lenovo K53a48 using GMAT Club Forum mobile app
User avatar
B
styxnexus
Intern
Intern
Joined: 04 Apr 2018
Posts: 17
Own Kudos [?]: 25 [0]
Given Kudos: 19
Send PM
GMAT ToolKit User
Re: What is the greatest distance between any two points on a cylinder wit [#permalink] New post   10 Apr 2018, 05:23
For the sake of easy calculations, let's say the 3D object has a projected shadow on a wall. That shadow would be a rectangle & the greatest distance would be the diagonal of this rectangle. And the calculation is pretty much simple as both sides of triangle are (6,8) which is a right angled triangle triplet with 10. Hence, E.

Sent from my Redmi Note 3 using GMAT Club Forum mobile app
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22055 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: What is the greatest distance between any two points on a cylinder wit [#permalink] New post   11 Apr 2018, 16:17
Expert Reply
Bunuel wrote:
What is the greatest distance between any two points on a cylinder with radius 3 and height 8?

A. √73

B. √80

C. 9

D. √91

E. 10



The greatest distance in a cylinder will be the diagonal from the top left to the bottom right. This diagonal, along with the height of the cylinder and the diameter of the circular base, will form a right triangle with the height and the diameter being the legs and the diagonal being the hypotenuse. We see the two legs of the diagonal are 6 (diameter) and 8 (height). So the hypotenuse of the right triangle, or the diagonal, will be 10.

Answer: E
GMAT Club Bot
gmatclubot
Re: What is the greatest distance between any two points on a cylinder wit [#permalink]
11 Apr 2018, 16:17
Moderators:
Bunuel
Math Expert
92933 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