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

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): You can put this solution on YOUR website!

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

RELATED QUESTIONS
a swimming pool is 50m long. the water is 1 metre deep at the shallow end and 3m deep at... (answered by josgarithmetic)

A swimming pool is 50m long and 25m wide.It is 1.2m deep at the shallow end and 2m deep... (answered by Alan3354)

A swimming pool is 50m long and 25m wide. It is 1meter deep at the shallow end and 8... (answered by Theo)

A swimming pool 50m long and 25m wide is 5.5m deep at one end and 1.5m deep at the... (answered by greenestamps)

A swimming pool 100 metres long and 40 metres wide is 1 metre deep at the shallow end... (answered by checkley77,Alan3354)

A swimming pool 100m long and 40m wide is 1m deep at the shallow end and 5m at the deep... (answered by Fombitz)

The surface of a swimming pool is 50-meter long and 20-meter wide rectangle. The pool is... (answered by greenestamps)

a swimming pool is 50cm long and 20cm wide. It is 1.2m deep at the shallow end and 2.5m... (answered by Alan3354)

A olympic swimming pool is 50m long, 21m wide and 1.8m deep. Calculate the amount of... (answered by checkley71)