$($a$)$ Blood with a density $=1\mathrm{.}00$ g$/$cm$3$ is flowing with a speed of $37$ cm$/$s through an aorta with a cross$-$sectional area of $2\mathrm{.}2$ cm$2.$ Determine the mass flow rate $($in g$/$s$)$ of blood.

g$/$s

$($b$)$ If this aorta branches to a number of capillaries which have a combined cross$-$sectional area of $2\mathrm{.}6103$ cm$2,$ determine the flow speed $($in cm$/$s$)$ of the blood in the capillaries.

cm$/$s