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

 It is currently 18 Mar 2019, 14:52

### 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

# A right circular cylinder with radius 6 units and height 10 units is

Author Message
TAGS:

### Hide Tags

Intern
Joined: 30 Aug 2017
Posts: 15
A right circular cylinder with radius 6 units and height 10 units is  [#permalink]

### Show Tags

07 Oct 2017, 23:09
2
1
4
00:00

Difficulty:

65% (hard)

Question Stats:

54% (02:29) correct 46% (03:01) wrong based on 55 sessions

### HideShow timer Statistics

A right circular cylinder with radius 6 units and height 10 units is placed upright and is filled up to 2/5th of its volume with water. a solid cone of radius 3 units and height 4 units is then submerged completely in the cylinder. what is the increase in the height of water level ?

Attachments

Question.jpeg [ 143.64 KiB | Viewed 3380 times ]

Intern
Joined: 28 Dec 2010
Posts: 49
Re: A right circular cylinder with radius 6 units and height 10 units is  [#permalink]

### Show Tags

08 Oct 2017, 02:37
1
In this question, you just need to calculate the volume of solid cone. There is no need to calculate volume of cylinder to find the actual increase.

Volume of cone = $$\frac{1}{3}* π * r^2 * H$$

= $$\frac{1}{3}* π * 3^2 * 4$$

= $$12 π$$

Now how much volume would it displace in a cylinder, let the height be x.
Volume displaced = $$π * r^2 * H$$

$$12 π = π * 6^2 * x$$

$$1 = 3 * x$$

$$x = 1/3$$

A.
_________________

_________________________________________

Intern
Joined: 04 Dec 2015
Posts: 44
WE: Operations (Commercial Banking)
Re: A right circular cylinder with radius 6 units and height 10 units is  [#permalink]

### Show Tags

05 Jan 2019, 07:04
Fair enough. But could someone please explain that why we don’t really need to calculate the volume of the cylinder?

Moreover, I still don’t understand the logic behind the given solution

Posted from my mobile device
Intern
Joined: 09 Jul 2018
Posts: 3
Re: A right circular cylinder with radius 6 units and height 10 units is  [#permalink]

### Show Tags

07 Jan 2019, 18:35
The maximum volume that the cone can displace is it's total volume
Hence we don't need to calculate the volume of the cyclinder!

Posted from my mobile device
Re: A right circular cylinder with radius 6 units and height 10 units is   [#permalink] 07 Jan 2019, 18:35
Display posts from previous: Sort by