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Difficulty:
55%
(hard)
Question Stats:
66% (02:36) correct
34%
(02:57)
wrong
based on 333
sessions
History
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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
A. 2.5 ft
B. 1ft
C. 0.5 ft
D. 0.25 ft
E. 0.025 ft
19 May 2013, 22:34
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pikachu
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.
Answer: E.
Hope it's clear.
General Discussion
aceacharya
Joined: 04 Mar 2013
Last visit: 10 Feb 2016
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Location: India
Concentration: Strategy, Operations
Schools: Booth '17 (M)
GMAT 1: 770 Q50 V44
GPA: 3.66
WE:Operations (Manufacturing)
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19 May 2013, 23:49
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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
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
