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A cylinder holds 10 liters of water. All of the water is

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Director
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A cylinder holds 10 liters of water. All of the water is [#permalink] New post 26 Mar 2007, 02:44
A cylinder holds 10 liters of water. All of the water is poured into a horizontal cube, 50 cm on a side. What is the depth of the water? (1 liter equals 1000 cubic cm of water)

a)4cm

b)10cm

c)40cm

d)60cm

e)100cm
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 [#permalink] New post 26 Mar 2007, 04:53
(A) for me :)

Let h be the depth of water in the cube.

Then, we have:
10 * 1000 = 50 * 50 * h
<=> 100 = 25 * h
<=> h = 4
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 [#permalink] New post 26 Mar 2007, 05:19
ok. thank you again


OA is A

Last edited by nick_sun on 26 Mar 2007, 14:04, edited 1 time in total.
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 [#permalink] New post 26 Mar 2007, 06:32
A cylinder holds 10 liters of water. All of the water is poured into a horizontal cube, 50 cm on a side. What is the depth of the water? (1 liter equals 1000 cubic cm of water)

volume of cylinder: pi x r^2 x h = 10 liters = 10,000 cm^3
horizontal cube [w=h]: h x w x d = 50 x 50 x d = 10,000 cm^3
d = 10,000 / 2500 = 4 cm = d

Answer is A
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 [#permalink] New post 26 Mar 2007, 13:47
I would go for A

Height= 10*1000/50*50
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 [#permalink] New post 26 Mar 2007, 18:15
Yes Straight 'A'.
Don't be confused by the cylinder. Concentrate on the volume of water as this decides the depth of water.
  [#permalink] 26 Mar 2007, 18:15
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