GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Oct 2019, 05:41

### 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

# Three metal cubes with edges of two will be dropped into an empty cyli

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58384
Three metal cubes with edges of two will be dropped into an empty cyli  [#permalink]

### Show Tags

17 Jan 2019, 03:15
00:00

Difficulty:

15% (low)

Question Stats:

91% (01:36) correct 9% (01:33) wrong based on 28 sessions

### HideShow timer Statistics

Three metal cubes with edges of two will be dropped into an empty cylindrical tank with a base radius of 3 and a height of 8. The three cubes will take up what fraction of the volume of the tank?

A 1/3

B 1/π

C 3/π

D 1/(3π)

E 2/(3π)

_________________
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1022
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: Three metal cubes with edges of two will be dropped into an empty cyli  [#permalink]

### Show Tags

17 Jan 2019, 03:22
1
Volume of a cube = $$side^3$$
Volume of each cube = 2*2*2 = 8
Volume of 3 cubes = 8*3 = 24

Volume of the cylinder = $$π*r^2*h$$ = π*9*8 = 72π

Bunuel, π is missing in option A.
_________________
Press +1 Kudos If my post helps!
Math Expert
Joined: 02 Sep 2009
Posts: 58384
Re: Three metal cubes with edges of two will be dropped into an empty cyli  [#permalink]

### Show Tags

17 Jan 2019, 03:27
Afc0892 wrote:
Volume of a cube = $$side^3$$
Volume of each cube = 2*2*2 = 8
Volume of 3 cubes = 8*3 = 24

Volume of the cylinder = $$π*r^2*h$$ = π*9*8 = 72π

Bunuel, π is missing in option A.

Formatting error. Edited. Thank you.
_________________
Senior Manager
Joined: 13 Feb 2018
Posts: 450
GMAT 1: 640 Q48 V28
Re: Three metal cubes with edges of two will be dropped into an empty cyli  [#permalink]

### Show Tags

17 Jan 2019, 03:48
Dear Afc0892 Bunuel

Why you assumed that "base" is radius and not diameter?

Regards
L
Math Expert
Joined: 02 Sep 2009
Posts: 58384
Re: Three metal cubes with edges of two will be dropped into an empty cyli  [#permalink]

### Show Tags

17 Jan 2019, 03:51
LevanKhukhunashvili wrote:
Dear Afc0892 Bunuel

Why you assumed that "base" is radius and not diameter?

Regards
L

__________________
Edited to make it clear.
_________________
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1022
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: Three metal cubes with edges of two will be dropped into an empty cyli  [#permalink]

### Show Tags

17 Jan 2019, 03:52
LevanKhukhunashvili wrote:
Dear Afc0892 Bunuel

Why you assumed that "base" is radius and not diameter?

Regards
L

I had the same doubt. But I checked by considering the base as diameter and there were not any options. So concluded that it should be radius.

Bunuel sir, If you could edit the question. It'll help to understand better.

Posted from my mobile device
_________________
Press +1 Kudos If my post helps!
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5005
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Three metal cubes with edges of two will be dropped into an empty cyli  [#permalink]

### Show Tags

17 Jan 2019, 06:32
Bunuel wrote:
Three metal cubes with edges of two will be dropped into an empty cylindrical tank with a base radius of 3 and a height of 8. The three cubes will take up what fraction of the volume of the tank?

A 1/3

B 1/π

C 3/π

D 1/(3π)

E 2/(3π)

vol of cyld : pi * r^2 * h = 9*8*pi = 72 pi
volf of 3 cubes : 2^3 * 3 = 24
so area of cube would be be 24/72 Pi = 1/ 3pi
IMO D
Director
Joined: 09 Mar 2018
Posts: 996
Location: India
Re: Three metal cubes with edges of two will be dropped into an empty cyli  [#permalink]

### Show Tags

17 Jan 2019, 07:22
Bunuel wrote:
Three metal cubes with edges of two will be dropped into an empty cylindrical tank with a base radius of 3 and a height of 8. The three cubes will take up what fraction of the volume of the tank?

A 1/3

B 1/π

C 3/π

D 1/(3π)

E 2/(3π)

IMO D

Given
side of cube = 2

Volume = side^3 = 8

Volume of 3 cubes =24

Volume of cylinder = π * 8 * 9 = 72 π

Fraction = Volume of 3 cubes / Volume of cylinder

= 1 / 3π
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Re: Three metal cubes with edges of two will be dropped into an empty cyli   [#permalink] 17 Jan 2019, 07:22
Display posts from previous: Sort by