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# A right circular cylinder having the radius of its base as 2 centimete

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Senior Manager
Joined: 18 Feb 2019
Posts: 455
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
A right circular cylinder having the radius of its base as 2 centimete  [#permalink]

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19 May 2019, 10:07
00:00

Difficulty:

35% (medium)

Question Stats:

67% (02:19) correct 33% (02:32) wrong based on 24 sessions

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A right circular cylinder having the radius of its base as 2 centimeters is filled with water upto a height of 2 centimeters. This water is then poured into an empty rectangular container the dimensions of whose base are 2π by 3 centimeters. If the volume of water in the rectangular container is increased by 50 percent by adding extra water, what is the final height, in centimeters, of the water level in centimeters in the rectangular container?

A. 0.5
B. 1
C. 1.5
D. 2
E. 2.5
Director
Joined: 18 Jul 2018
Posts: 938
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: A right circular cylinder having the radius of its base as 2 centimete  [#permalink]

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19 May 2019, 11:28
Volume of the Cylinder = $$πr^2h$$
Volume of water in the Cylinder = $$π*2^2*2 = 8π$$
Area of Rectangle = lbh
Given, lb = 2π*3
Area = 6πh
Volume of water remains the same when it is poured it the rectangular container.
8π = 6πh
h = 4/3 cm
Now, the volume of water is increased by 50%. Means 8π = 12π
12π = 6πh
h = 2cm

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Re: A right circular cylinder having the radius of its base as 2 centimete   [#permalink] 19 May 2019, 11:28
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