Bunuel wrote:
Water is to be transferred completely from a cylindrical tank to a rectangular tank. What is the height of the water in the rectangular tank after the transfer is completed, if the height of the water was 10 inches in the cylindrical tank?
(1) The base of the cylindrical tank has the same area as the base of the rectangular tank.
(2) The radius of the cylindrical tank is 3 feet.
Solution
Step 1: Analyse Question Stem
• Height of the water in the cylindrical tank is 10 inches.
• Water transferred from cylindrical to rectangular tank.
o Volume of water in cylindrical tank = volume of water in rectangular tank
o \(Π*r^2*10 = l*b*h ………….Eq.(i)\)
Where r is the radius of the cylindrical tank and l, b and h are length, breadth and height of the rectangular tank, respectively.
• We need to find h.
Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE
Statement 1: The base of the cylindrical tank has the same area as the base of the rectangular tank.
• \(Π*r^2 = l*b\)
• Thus, by combining the above equation and Eq.(i), we get \(h = 10\) inches.
Hence, statement 1 is not sufficient and we can eliminate answer options A and D.
Statement 2: The radius of the cylindrical tank is 3 feet.
However, we don’t know the values of l and b or l*b.
Hence, statement 2 is not sufficient.
Thus, the correct answer is
Option A. _________________
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