5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Pls explain!
This topic has expert replies
-
prachi18oct
- Master | Next Rank: 500 Posts
- Posts: 269
- Joined: Sun Apr 27, 2014 10:33 pm
- Thanked: 8 times
- Followed by:5 members
GMAT/MBA Expert
-
[email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi prachi18oct,
In this question, we're asked (in an oddly-worded way) to determine the volume of a cylinder.
Volume = pi(R^2)H where R is the radius of the base of the cylinder and H is the height.
We're told that the largest possible CUBE is placed into the cylinder and the volume of that cube is X.
Fact 1: The area of the base of the cylinder is 8pi
This Fact will help us to figure out the radius of the base of the cylinder AND the volume of the cube. However, it will NOT tell us the height of the cylinder.
Fact 1 is INSUFFICIENT
Fact 2: X = 64
This Fact will help us figure out the dimensions of the cube AND the radius of the base of the cylinder. However, it will NOT tell us the height of the cylinder.
Fact 2 is INSUFFICIENT
Combined, we know.....
The area of the base of the cylinder and the radius
The volume of the cube
We still don't know the height of the cylinder though, so there's no way to calculate the volume of the cylinder.
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
In this question, we're asked (in an oddly-worded way) to determine the volume of a cylinder.
Volume = pi(R^2)H where R is the radius of the base of the cylinder and H is the height.
We're told that the largest possible CUBE is placed into the cylinder and the volume of that cube is X.
Fact 1: The area of the base of the cylinder is 8pi
This Fact will help us to figure out the radius of the base of the cylinder AND the volume of the cube. However, it will NOT tell us the height of the cylinder.
Fact 1 is INSUFFICIENT
Fact 2: X = 64
This Fact will help us figure out the dimensions of the cube AND the radius of the base of the cylinder. However, it will NOT tell us the height of the cylinder.
Fact 2 is INSUFFICIENT
Combined, we know.....
The area of the base of the cylinder and the radius
The volume of the cube
We still don't know the height of the cylinder though, so there's no way to calculate the volume of the cylinder.
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
For any square with side s, diagonal = s√2.The largest possible cube with volume x is enclosed in a cylinder, what is the volume of the cylinder?
(1) The area of the base of the cylinder is 8Ï€.
(2) x is 64
Statement 1:
πr² = 8π
r = √8 = 2√2, implying that d = 4√2.
Thus, the base of cylinder looks like this:
The square represents the base of the largest cube that can be enclosed in a cylinder with a base of 8Ï€.
Since the diagonal of the square = 4√2, s = 4.
Thus, the largest possible cube has an edge of length 4, implying a volume of 64.
Case 1:
Case 2:
Cases 1 and 2 illustrate that the cylinder can have different heights.
Thus, the volume of the cylinder cannot be determined.
INSUFFICIENT.
Since Cases 1 and 2 also satisfy statement 2, the two statements combined are INSUFFICIENT to determine the volume of the cylinder.
The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
