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Water is leaking out from a cylinder container at the rate

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Water is leaking out from a cylinder container at the rate [#permalink] New post 27 Jun 2009, 21:29
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

80% (01:40) correct 20% (00:49) wrong based on 10 sessions
Water is leaking out from a cylinder container at the rate of 0.31 m^3 per minute. 10 minutes later, the water level decreases 0.25 meter, what is value of the radius?

(A) 0.5
(B) 1.0
(C) 1.5
(D) 2.0
(E) 2.5
[Reveal] Spoiler: OA
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Re: water level [#permalink] New post 22 Jul 2009, 00:17
Total water loss = 3.1 mtr in 10 min @.31 meter per min
3.14XR^2X.25 = 3.1
r^2 = 4
r=2

(D)
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Re: water level [#permalink] New post 20 Feb 2010, 11:08
irajeevsingh wrote:
Total water loss = 3.1 mtr in 10 min @.31 meter per min
3.14XR^2X.25 = 3.1
r^2 = 4
r=2

(D)


Can you please elaborate that how you did

3.1 * r^2 * .25 = 3.1
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Re: water level [#permalink] New post 20 Feb 2010, 12:00
Expert's post
Bullet wrote:
irajeevsingh wrote:
Total water loss = 3.1 mtr in 10 min @.31 meter per min
3.14XR^2X.25 = 3.1
r^2 = 4
r=2

(D)


Can you please elaborate that how you did

3.1 * r^2 * .25 = 3.1


In 10 min the volume of the water which leaked out the cylinder would be 10*0.31=3.1 m^3.

Volume = \pi*r^2*height=3.1 --> \pi*r^2*0.25=3.1 --> \pi=3.14 --> 3.14*r^2*0.25=3.1 --> r=2 (approximately).

Hope it's clear.
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Intern
Intern
User avatar
Joined: 17 Nov 2009
Posts: 37
Schools: University of Toronto, Mcgill, Queens
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Kudos [?]: 34 [0], given: 9

Re: water level [#permalink] New post 20 Feb 2010, 22:39
Bunuel wrote:
Bullet wrote:
irajeevsingh wrote:
Total water loss = 3.1 mtr in 10 min @.31 meter per min
3.14XR^2X.25 = 3.1
r^2 = 4
r=2

(D)


Can you please elaborate that how you did

3.1 * r^2 * .25 = 3.1


In 10 min the volume of the water which leaked out the cylinder would be 10*0.31=3.1 m^3.

Volume = \pi*r^2*height=3.1 --> \pi*r^2*0.25=3.1 --> \pi=3.14 --> 3.14*r^2*0.25=3.1 --> r=2 (approximately).

Hope it's clear.


Thanks Bunuel, I was confusing 3.14 with the volume where is was pi.

Cheers!
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--Action is the foundational key to all success.

Re: water level   [#permalink] 20 Feb 2010, 22:39
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