KVPY2015MathematicsBasics of Mathematics
Given are three cylindrical buckets X, Y, Z whose circular bases are of radii 1,2,3 units, respectively, Initially water is filled in these buckets upto the same height. Some water is then transferred from Z to Z so that they both have the same volume of water. Some water is then transferred between X and Y so that they both have the same volume of water. If h _ y , h _ z denote the heights of water at this stage in
Options
- A4 9
- B1
- C9 4
- D81 40
Correct answer
D. 81 40
Step-by-step solution
array lllll V = & h & 4 ~h & 9 ~h & stage (1) & 5 h & 4 h & 5 h & stage (2) & 4.5 h & 4.5 h & 5 h & stage (3) 4 h _ y & = 9 h 2 & 9 ~h _ z =5 h & array h _ y = 9 ~h 8 ~h _ z = 5 9 ~h h _ y h _ z = 9 ~h 8 / 5 ~h 9 = 81 40