A swimming pool is rectangular shape of length 12 m and width 5.5 m. It has a sloping bottom and is 1 m deep at one end and 3.6 m deep at the other end. The water from a full cylindrical reservoir 3.6 m in diameter and 10 m deep is emptied to the pool. Find the depth of water at the deep end.
Ans:-
The water from a full cylindrical reservoir 3.6 m in diameter and 10 m deep is emptied to the pool.
Volume of water in Cylinder
The cross section of the swimming pool is a trapezium with parallel sides (depth of both ends) and (length of pool) as the ⊥ r distance between ∥ sides.
The width of pool m can be the length of cross section
Capacity of Swimming pool will be
Volume of Empty swimming pool
Hence The height of depth side from the top will be
Hence depth of water at the bottom end will be
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