I turn on my hose faucet all the way and point the hose directly horizontally with respect to the flat ground from a height of $h=1\mathrm{.}2$ meters above the ground. The hose has an opening that has a radius of $r=0\mathrm{.}8cm.$ The water travels $3\mathrm{.}0$ meters before it hits

the ground. You cover the opening of the hose with your thumb reducing the hose opening to a circle of radius $0\mathrm{.}4cm.$ How far does the water

travel now?