A rectangular water tank of base `11 m xx 6m` contains water upto a height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank.

Explanation

Given,dimenison of base of rectaangular tank `= 11 m xx 6m` and height of water g= 5 m
Volume of the water in rectangular tank `= 11 xx 6 xx 5 = 330 m^(3)`
Also given radius of the cylindrical tank = 3.5 m
Let height of water level in cylinder tank be h.
Then, volume of the water is cylindrical `= pir^(2)h = pi (3.5)^(2) xxh`
`" " =(22)/(7) xx 3.5 xx 3.5 xx h`
According to the question,
`330= 28.5 h " "["since, volume of water is same in both tanks "]`
`therefore" "h = (330)/(38.5)= (3300)/(385)`
` therefore " " = 8.75 m or 8.6 m`
Hence, the height of water level in cylindrical tank is 8.6 m.