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When a cylindrical tank is filled with water at a rate of 22 [#permalink]

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18 Dec 2005, 02:16

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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?

Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]

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18 Dec 2005, 02:26

In 1 hr,

volume = 22 = pi (r^3)(0.7)

pi is 22/7 (approximately), so 22 = 22/7(r^3)(7/10)

22 = 22/10(r^3)
10 = r^3

So choice c,d, and e are out since 4^3, 5^3 and 10^3 are out greater than 10.

sqrt9 = 3, sqrt 16 = 4, so sqrt10 is going to be slightly above 3. So choice B is out, since r^3 = 10 * sqrt(10) which is going to be slightly above 30.

Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]

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18 Dec 2005, 21:40

I made an error in calculation !! Sorry, the volume of the cylinder should be pi*r^2*h. I do not know why I put it down as pi*r^3^h and even went on to work out the problem.

Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]

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18 Dec 2005, 23:36

GMATT73 wrote:

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?

A. sqrt10/2 B. sqrt10 C. 4 D. 5 E. 10

22 = PI r^2 * 0.7
22 = 22/7 * r^2 * 0.7
1= r^2/10
=> r= Sqrt(10) ----> B

Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]

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18 Aug 2014, 21:28

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Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]

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18 Aug 2014, 22:20

GMATT73 wrote:

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?

A. sqrt10/2 B. sqrt10 C. 4 D. 5 E. 10

The area of the base = 22/0.7 = 220/7 = about 31 m^2 = Pi * r^2 --> r^2 = 31/3.14 = about 10 --> r = sqrt (10)

Answer is B
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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?

A. √10/2 B. √10 C. 4 D. 5 E. 10

We are basically told that a cylinder with a height of 0.7 (7/10) meters has the volume of 22 cubic meters.

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