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

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

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New post 29 Dec 2015, 07:53
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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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New post 29 Dec 2015, 10:54
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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/ (\(\pi\) )

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

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New post 29 Dec 2015, 11:28
[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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New post 03 Jan 2016, 06:30
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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Re: Milk is poured from a full rectangular container with dimensions 4 inc   [#permalink] 08 Apr 2017, 03:19
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