Question

A round wading pool has a diameter of 115cm deep. A hose is filling the pool at a rate of 34000cm^3, cubed per minute. How long will it take to fill the pool to a depth of 20cm?

Answer 1

It will take 6.118 minutes to fill up the pool to a depth of 20 cm

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 =
`\pi r^(2)h`

Where r= radius of the pool = 115/2 = 57.5cm

h = depth of the pool =20 cm

The volume of the pool will be
`\pi *57.5^(2) * 20 =2.08 * 10^(5) cm ^(3)`

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