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29 Dec 2015, 07:53
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Difficulty:
15%
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Question Stats:
84% (01:18) correct
16%
(01:49)
wrong
based on 88
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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. \(3\pi\)
A. \(\frac{60}{\pi}\)
B. 24
C. \(\frac{40}{\pi}\)
D. 10
E. \(3\pi\)
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
Since , volumne of milk is constant .
Therefore
4*9*10 = \(\pi\)* 3^2 * h
=> \(\pi\) * h = 40
=> h = 40/ (\(\pi\) )
Answer C
29 Dec 2015, 11:28
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[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. \(\frac{40}{\pi}\)
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. \(\frac{40}{\pi}\)
