The water flowing through a $2\mathrm{.}0$ cm $($inside diameter$)$ pipe flows out through three $1\mathrm{.}2$ cm pipes. $($a$)$ If the flow rates in the three smaller pipes are $26,19,$ and $13$ L$/$min$,$ what is the flow rate in the $2\mathrm{.}0$ cm pipe? $($b$)$ What is the ratio of the speed of water in the $2\mathrm{.}0$ cm

pipe to that in the pipe carrying $26$ L$/$min$?$