# How is the power of water flowing through a pipe directly proportional to $v³$ and not $v²$?

How is the power of water flowing through a pipe directly proportional to $$v^3$$ and not $$v^2$$? (Where $$v$$ is the velocity of water)

I have been trying to write power in terms of $$v^3$$ but I'm unable to figure it out. Though according to me, it should have been $$v^2$$ because power is the work done divided by time.