Question

A 5/8?inch (inside) diameter garden hose is used to fill a round swimming pool 4.1 m in diameter.How long will it take to fill the pool to a depth of 1.8 m if water issues from the hose at a speed of 0.65 m/s ?

Answer 1

given data are :

Garden hose diameter (d)=5/8inch

=>radius(r) = d/2=(5/8)/2inch

  swimming pool diameter(d)=4.1m

depth(h)= 1.8m

speed(v)= 0.65m/s

The volume of the water in the pool:

Now We need the volume flow rate in the hose:

  

Since

we have "t"::

Therefore the time taken to fill the pool will be