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

It is currently 17 Aug 2019, 07:57

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.

Close

Request Expert Reply

Confirm Cancel

M70-27

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57022
M70-27  [#permalink]

Show Tags

New post 03 Sep 2018, 06:06
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

43% (01:17) correct 57% (03:10) wrong based on 7 sessions

HideShow timer Statistics

The snack company Incredible Edible built a 14-meter-high statue in the shape of a lowercase “i” and filled it with peanut butter. If the dot at the top of the “i” is a cylinder with a diameter of 8 meters and a height of 6 meters, which is tangent to the cuboid that makes up the bottom of the “i”, how much peanut butter was needed to fill the statue?


A. \(216 + 96\pi\)
B. \(216 + 48\pi\)
C. \(216 + 36\pi\)
D. \(288 + 48\pi\)
E. \(288 + 96\pi\)

_________________
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57022
Re M70-27  [#permalink]

Show Tags

New post 03 Sep 2018, 06:06
Official Solution:


The snack company Incredible Edible built a 14-meter-high statue in the shape of a lowercase “i” and filled it with peanut butter. If the dot at the top of the “i” is a cylinder with a diameter of 8 meters and a height of 6 meters, which is tangent to the cuboid that makes up the bottom of the “i”, how much peanut butter was needed to fill the statue?


A. \(216 + 96\pi\)
B. \(216 + 48\pi\)
C. \(216 + 36\pi\)
D. \(288 + 48\pi\)
E. \(288 + 96\pi\)


We’ll go for PRECISE because all the numbers we need are in the question.

This question asks us about the volume of the statue, which is actually the sum of the volumes of separate shapes: a cylinder and a cuboid. Let’s start with the cylinder: it has a diameter of 8 meters, meaning its radius is 4 meters – so its volume is \(\pi r^2h = \pi 4^2*6 = 96\pi\). Now let’s look at the cuboid: its height is the height of the statue minus the diameter of the dot = \(14 – 8 = 6\). Since all its dimensions are the same, the volume of the cuboid is \(a^3 = 6^3 = 216\). So the total volume of the dot is \(96\pi + 216\).


Answer: A
_________________
Intern
Intern
avatar
Joined: 09 Jun 2018
Posts: 1
M70-27  [#permalink]

Show Tags

New post 08 Sep 2018, 03:07
1
The cylinder is fine. However, I did not get the cuboid part. There is no rule which says all the sides of a cuboid should be same. I thought that it would be similar to dimensions of the cylinder, meaning, 14-8= 6 height, length= diameter= 8, and width= height of cylinder= 6. There by giving ans 288+96pi
Intern
Intern
avatar
Joined: 19 Mar 2018
Posts: 2
Re M70-27  [#permalink]

Show Tags

New post 13 Sep 2018, 19:33
I think this is a high-quality question and I don't agree with the explanation. There is no reference provided to specify that all the sides of cuboid are equal.
Intern
Intern
avatar
B
Joined: 18 May 2018
Posts: 18
Location: India
Concentration: Marketing, Strategy
Schools: DeGroote'21 (A)
GMAT 1: 730 Q49 V40
Re: M70-27  [#permalink]

Show Tags

New post 01 Oct 2018, 15:08
This is a poor quality question.

The statue is upright and the 'dot' is a cylinder on its side. Technically the height of the cylinder is the measurement that contributes toward the height of the statue. Here, that would be the radius/diameter of the cylinder. As a result, the cylinder has a height of 8.

The cylinder has a thickness of 6, but the question incorrectly states that the cylinder has a height of 6.
Intern
Intern
avatar
B
Joined: 13 Jul 2018
Posts: 14
Location: India
Concentration: General Management, Strategy
WE: Information Technology (Journalism and Publishing)
Re: M70-27  [#permalink]

Show Tags

New post 20 Oct 2018, 00:56
Hi

Can someone please explain the cuboid calculation. How have all of its dimensions been taken to be 6?
Intern
Intern
avatar
Joined: 02 Nov 2018
Posts: 1
Re M70-27  [#permalink]

Show Tags

New post 03 Nov 2018, 22:08
I think this is a poor-quality question and I don't agree with the explanation. the dimensions of the cuboid cant be assumed to be equal
Intern
Intern
avatar
Joined: 25 Jun 2018
Posts: 1
Re M70-27  [#permalink]

Show Tags

New post 13 Nov 2018, 08:15
1
I think this is a high-quality question and I don't agree with the explanation. it should be 288 as l = 8 (diameter of cylinder), b = 6 and height = 6
Intern
Intern
avatar
B
Joined: 17 Apr 2017
Posts: 2
Re: M70-27  [#permalink]

Show Tags

New post 25 Jul 2019, 07:54
skunfl2001 wrote:
I think this is a high-quality question and I don't agree with the explanation. There is no reference provided to specify that all the sides of cuboid are equal.

I agree with you. There is no reason to consider the length to be 6.
Intern
Intern
avatar
B
Joined: 18 Jul 2019
Posts: 3
Re M70-27  [#permalink]

Show Tags

New post 03 Aug 2019, 00:22
I think this is a high-quality question and I don't agree with the explanation. cuboid is not cube. how the volume is calculated by cube of side ie 6?
GMAT Club Bot
Re M70-27   [#permalink] 03 Aug 2019, 00:22
Display posts from previous: Sort by

M70-27

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderators: chetan2u, Bunuel






Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne