Multi Choice Type Question
Marks: 1 Negative Marks : 0
A swimming pool 60 m long, 24 m wide is 9 m deep at one end and 3 m
deep at the other, the floor of the swimming bath has uniform slope
Find the volume of water in me when just half the floor is covered?
Answers
Step-by-step explanation:
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Given,
The length of the pool = 60m
The breadth of the pool = 24m
The depth of the pool on one end =9m
The depth of the pool on another end = 3m
To Find,
The volume of water in the pool when half of the floor is covered =?
Solution,
The volume of the rectangular side = l*b*h
The volume of the rectangular side = 60 * 24 * (9 - 3)
The volume of the rectangular side = 60 * 24 * 6
The volume of the rectangular side = 8640 m ³
The volume of the triangle = 0.5 * h * b * l
The volume of the triangle = 0.5 * 3 * 24 * 60
The volume of the triangle = 0.5 * 4320
The volume of the triangle = 2160 m ³
Therefore, the total volume of the pool = 2160 + 8640
The total volume of the pool = 10800 m ³
The half volume of the pool = 10800 /2 = 5400 m ³
We know that 1 cubic meter = 1000 l = 1 kl
The volume of water when it is half-filled = 5400 m ³ = 5400 kl
Hence, the volume of water in me when just half the floor is covered is 5400 kl.