(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

To fill a child's inflatable wading pool you use a garden hose with a diameter of 2.8 cm. Water flows from this hose with a speed of 1.1 m/s. How long will it take to fill the pool to a depth of 32 cm if it is circular and has a diameter of 2.7 m?

2. Relevant equations

delta m=p1 A1 v1 delta t

(p=density, A=area, v=velocity, t=time)

A1 v1=A2 v2

Q=A v

idk if there is another equation that deals with time, i can't find any.

3. The attempt at a solution

since everything is dealing with water, i didn't really consider density.

the amount of water needed:

V= pi r^2 h=pi (1.35)^2 (.32)= 1.83 m^3

the area of the hose is:

A= pi r^2= pi (.014)^2= 6.16e-4 m^2

Q=A v=6.16e-4 (1.1)=6.78e-4 m^3/s

mass flow rate= .6776 kg/s

i don't really know where to go from here...

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# Homework Help: Time it takes to fill a pool.

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