M.L Aggarwal book Important Question of class 10 chapter Based on Mensuration for ICSE BOARD.
A rectangular water tank of base given 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.
This is the Question Number 04, Exercise 17.5 of M.L Aggarwal.
Deepak BoraNewbie
A rectangular water tank of base 11 m x 6 m 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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Given dimensions of the rectangular water tank = 11 m × 6 m
Height of water in tank = 5 m
Volume of water in tank = 11×6×5 = 330 m3
Radius of the cylindrical tank, r = 3.5 m
Volume of cylindrical tank = r2h
r2h = 330
(22/7)×3.52×h = 330
(22/7)×12.25×h = 330
h = 330×7/22×12.25
= 8.57 m
Hence the height of the water level in the tank is 8.57m.