You say the pool is 12m wide, but both ends are only 10m wide. I'll assume that's a typo, and the pool is 10m wide.
The side view is a trapezoid with bases of 1.3 and 3, and an altitude of 40. So the volume of the pool is
(1.3+3)/2 * 40 * 10 = 860 m^3
The volume of water coming in is 4 * π * (7/2)^2 * 1200 = 58800π cm^3/s = 0.1847 m^3/s
So it will take
860/0.1847 * 1/60 = 77.59 minutes
to fill the pool.
Adjust the numbers if the width of the pool is in fact not 10 m.
a swimming pool is 40m long and 12m wide with a shallow end and a deep end.The shallow end is 1.3m deep and 10m wide while the deep end is 3m deep and 10m wide. The center tappers gently from the shallow end to the deep end. The pool is filled by four similar pipes each of diameter 7cm. Water flows through each pipe at the rate of 1.2 meters per second. Calculate to the nearest minute the time it takes to fill the pool
1 answer
1 answer