Answer:
It will take 6.118 minutes to fill up the pool to a depth of 20 cm
Step-by-step explanation:
The first step is to calculate the volume of the wading pool.
we will assume it is a cylinder, hence the volume will be = [tex]\pi r^{2}h[/tex]
Where r= radius of the pool = 115/2 = 57.5cm
h = depth of the pool =20 cm
The volume of the pool will be [tex]\pi \times57.5^{2} \times 20 =2.08 \times 10^{5} cm ^{3}[/tex]
We are filling a pool of 208,000cm ^{3} at the rate of 34000cm^3, cubed per minute.
To get the time it will take to fill up the pool, we will have to divide as follows:
208,000cm ^{3} / 34000cm^3 =6.118 minutes
Therefore it will take 6.118 minutes to fill up the pool to a depth of 20 cm