Question

A swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end. Find the volume of water in the pool. (Round your answer to the nearest whole number.)

Answer 1

`V=6912ft^3`

Explanation:

From the question we are told that:

Diameter
`D=40ft`

Radius
`r=d/2=>20ft`

Depth at south
`d_s=3ft`

Depth at north
`d_n=8ft`

Average depth of the pool

`d_a=(3+8)/(2)`

`d_a=5.5ft`

Generally the equation for Volume is mathematically given by

`V=\pi r^2h`

`V=3.142*(20)^25.5`

`V=6912ft^3`