As a certified engineer, a new client

has asked you to help design a new

paved driveway for his small

business. To construct a new

driveway, or any new impermeable

area, the municipal code requires a

retention pool to be provided for

stormwater runoff $($shown on the

right$).$ Your client has asked you to

install a fountain to create a water

feature out of the necessary

infrastructure.

Your present goal is to size and locate the pump. You select a submersible pump which sits

on the floor of the $3$ ft deep retention pool. It sucks the runoff water through a coarse filter

with negligible loss. The discharge line is a $3(1)/(2)$ ft long, $3/8-$inch diameter commercial steel

tube. Determine the size of the pump to be used to produce a $20$ ft tall fountain. Include pipe

friction