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# Milk is poured from a full rectangular container with dimensions 4 inc

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Math Expert
Joined: 02 Sep 2009
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Milk is poured from a full rectangular container with dimensions 4 inc  [#permalink]

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29 Dec 2015, 06:53
1
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:20) correct 13% (01:55) wrong based on 64 sessions

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Milk is poured from a full rectangular container with dimensions 4 inches by 9 inches by 10 inches into a cylindrical container with a diameter of 6 inches. If the milk does not overflow, how many inches high will the milk reach?

A. $$\frac{60}{\pi}$$
B. 24
C. $$\frac{40}{\pi}$$
D. 10
E. $$3\pi$$

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Re: Milk is poured from a full rectangular container with dimensions 4 inc  [#permalink]

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29 Dec 2015, 09:54
1
Let the height of level of milk in the cylinder = h
Since , volumne of milk is constant .
Therefore
4*9*10 = $$\pi$$* 3^2 * h
=> $$\pi$$ * h = 40
=> h = 40/ ($$\pi$$ )

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Milk is poured from a full rectangular container with dimensions 4 inc  [#permalink]

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29 Dec 2015, 10:28
[quote="Bunuel"]Milk is poured from a full rectangular container with dimensions 4 inches by 9 inches by 10 inches into a cylindrical container with a diameter of 6 inches. If the milk does not overflow, how many inches high will the milk reach?

Volume of rectangular container = 4*9*10=360

Volume of cylinder = pi*3^2*h

set the two volumes equal to each other

h=360/9pi
=40/pi

C. $$\frac{40}{\pi}$$
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Re: Milk is poured from a full rectangular container with dimensions 4 inc  [#permalink]

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03 Jan 2016, 05:30
if the milk do not overflow then volume of rectangular box should be >= volume of cylinder
r = 6/2 = 3
4*9*10 = Pi*3*3*h
h = 40/pi

Ans: C
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Re: Milk is poured from a full rectangular container with dimensions 4 inc  [#permalink]

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08 Apr 2017, 02:19
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Re: Milk is poured from a full rectangular container with dimensions 4 inc &nbs [#permalink] 08 Apr 2017, 02:19
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