The radius of a cylindrical water tank is reduced by 50%. However, the speed by which water is filled into the tank is also decreased by 50%. How much more or less time Q will it take to fill the tank now?
Answers.
A) 50% less time
B) 50% more time
C) 75% less time
D) 75% more time
E) 100% more time
(VC)Volume of the cylinderical vessal is directly proportional to R^2.   So if radius is 50% less volume will be 1/4th of the original volume.(VC/4)   Now if with velocity V tank can be filled in T1 time of volume VC   So now Velocity is 50% less i..e V/2   So time taken to fill the capacity VC/4 by V/2 velocity is T2.   VT1 = VC   V/2*T2 = VC/4   So T1/T2 = 1/2   So Tank will be filled in less time. that is Q=50 % less.50% less time
<result>A</result>
The radius of a cylindrical water tank is reduced by 50%. However, the speed by which water is filled into the tank is also decreased by 50%. How much more or less time Q will it take to fill the tank now?