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InterviewSolution
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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. |
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Answer» 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. |
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