$4\mathrm{.}2$ Equation $(4\mathrm{.}7)$ describes the relationship between the

input flow rate $(q_{in})$ and the output level $(h)$ of the nonreg$-$

ulating liquid tank shown in Figure $4\mathrm{.}2.$ Determine the nu$-$

merical value of A for the following tank diameters, and

write Equation $(4\mathrm{.}7)$ using the numerical value of $A.$

$($a$)1\mathrm{.}5$ m

$($b$)0\mathrm{.}52$ m