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# A full stationary oil tank that is a right circular cylinder

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A full stationary oil tank that is a right circular cylinder  [#permalink]

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Updated on: 19 May 2013, 21:23
2
8
00:00

Difficulty:

55% (hard)

Question Stats:

67% (02:42) correct 33% (02:54) wrong based on 262 sessions

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A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 5 feet and a height of 10 feet, how far did the oil level drop in the stationary tank?

A. 2.5 ft
B. 1ft
C. 0.5 ft
D. 0.25 ft
E. 0.025 ft

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Originally posted by pikachu on 19 May 2013, 21:20.
Last edited by Bunuel on 19 May 2013, 21:23, edited 1 time in total.
Renamed the topic and edited the question.
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Re: A full stationary oil tank that is a right circular cylinder  [#permalink]

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19 May 2013, 21:34
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pikachu wrote:
A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 5 feet and a height of 10 feet, how far did the oil level drop in the stationary tank?

A. 2.5 ft
B. 1ft
C. 0.5 ft
D. 0.25 ft
E. 0.025 ft

The volume of the truck's tank is $$V=\pi{r^2}h=\pi{5^2}*10=250\pi$$. So, $$250\pi$$ cubic feet of water is pumped from the stationary tank.

What is the height of this amount of water in the stationery tank? $$V=\pi{r^2}h=\pi{100^2}*h=250\pi$$ --> $$h=0.025$$ feet.

Hope it's clear.
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Re: A full stationary oil tank that is a right circular cylinder  [#permalink]

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19 May 2013, 22:49
Here's how I proceeded with this question

The larger cylinder has a volume of $$25pi * 10^4$$

The smaller cylinder has a volume of $$25pi*10^1$$

So the small cylinder is $$\frac{(10^1*100)}{10^4}$$ i.e 1% of the larger cylinder
So the level will fall 0.1% of 25 feet which is .025
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Re: A full stationary oil tank that is a right circular cylinder  [#permalink]

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20 May 2013, 00:44
1
The amount of Oil pumped to Tank = Amount of Oil taken away from stationary Cylinder

pi*25*10=pi*h*100*100 (h is height of oil taken away from stationary cylinder)

h=0.025 ft
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Re: A full stationary oil tank that is a right circular cylinder  [#permalink]

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10 Sep 2014, 09:20
" how far did the oil level drop in the stationary tank?"--- holds the key to the question ... i read it wrong silly mistake ..
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Re: A full stationary oil tank that is a right circular cylinder  [#permalink]

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11 Sep 2014, 17:51
shelrod007 wrote:
" how far did the oil level drop in the stationary tank?"--- holds the key to the question ... i read it wrong silly mistake ..

I dont think the question reads correctly. If the question reads "How far did the oil level drop" - how is that supposed to be interpreted "By how much did the oil level drop"...Strange.
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Re: A full stationary oil tank that is a right circular cylinder  [#permalink]

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11 Sep 2014, 17:51
shelrod007 wrote:
" how far did the oil level drop in the stationary tank?"--- holds the key to the question ... i read it wrong silly mistake ..

I dont think the question reads correctly. If the question reads "How far did the oil level drop" - how is that supposed to be interpreted "By how much did the oil level drop"...Strange.
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Re: A full stationary oil tank that is a right circular cylinder  [#permalink]

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09 Jul 2016, 08:20
1
pikachu wrote:
A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 5 feet and a height of 10 feet, how far did the oil level drop in the stationary tank?

A. 2.5 ft
B. 1ft
C. 0.5 ft
D. 0.25 ft
E. 0.025 ft

In order to fill up the tank, same volume is shifted from one tank to the other.

pi r1^2h1= pi r2^2 h2

5*5*10= 100 *100 *h2
h2= .025 ft

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Re: A full stationary oil tank that is a right circular cylinder  [#permalink]

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27 Aug 2018, 15:45
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Re: A full stationary oil tank that is a right circular cylinder &nbs [#permalink] 27 Aug 2018, 15:45
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