radius water tank

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canuckclint: Master | Next Rank: 500 Posts; Posts: 154; Joined: Tue Aug 26, 2008 12:59 pm; Location: Canada; Thanked: 4 times

by canuckclint » Tue Nov 04, 2008 9:10 pm

When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?

sqrt(10)/2
sqrt(10)
4
5
10

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Source: Beat The GMAT — Problem Solving | Tue Nov 04, 2008 9:10 pm

raunekk: Legendary Member; Posts: 1159; Joined: Wed Apr 16, 2008 10:35 pm; Thanked: 56 times

by raunekk » Tue Nov 04, 2008 10:23 pm

imo:B

rate = 22 m^3 / hr = volume after one hour

level of water per hour= 0.7 m/hr = height after one hour

volume= pi * r^2 * h

22 = pi * r ^2 * 0.7

22/7 * 10 = pi * r^2

(pi = 22/7 )

thus, r ^2 = 10
r = sqroot 10

thx

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