SOLUTION: A swimming pool is 50m long and 32m wide.It is 1.2m deep at one-fifth of the length of the pool from the shallow end. The depth above slopes uniformly downwards to a depth of 3m at
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-> SOLUTION: A swimming pool is 50m long and 32m wide.It is 1.2m deep at one-fifth of the length of the pool from the shallow end. The depth above slopes uniformly downwards to a depth of 3m at
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Question 1124902: A swimming pool is 50m long and 32m wide.It is 1.2m deep at one-fifth of the length of the pool from the shallow end. The depth above slopes uniformly downwards to a depth of 3m at the other end.find the volume of water in the pool when it is full. Answer by solver91311(24713) (Show Source):
First consider the shallow end section. One-fifth of 50m times 1.2m \times 32m.
Add to that a prism with a trapezoidal cross-section.
The area of the trapezoid is four-fifths of 50m times the average of the two depth extremes, namely 1.2m and 3m. Multiply this area by the width of the pool, namely 32m
Hence:
You can do your own arithmetic.
John
My calculator said it, I believe it, that settles it
