Sugar juice is filtering through a conical funnel $20$ cm deep and $12$ m across at the top, into a cylindrical container whose diameter is $10$ cm $.$ When the depth of the juice in the funnel is $10$ cm $,$ the water is rising $1\mathrm{.}25c\frac{m}{m}in,$ determine the follow ing:

$14.$ Find the rate of volume

a$.,35\mathrm{.}34c\frac{m^3}{m}$inc$\mathrm{.}54\mathrm{.}56c\frac{m^3}{m}in$

b$.,44\mathrm{.}45c\frac{m^3}{m}$ind$\mathrm{.}24\mathrm{.}23c\frac{m^3}{m}in$

$15.$ The rate at which its level in the cylinder

a$.,0\mathrm{.}15c\frac{m}{m}$inc$\mathrm{.}0\mathrm{.}35c\frac{m}{m}in$

b$.,0\mathrm{.}25c\frac{m}{m}$ind$\mathrm{.}0\mathrm{.}45c\frac{m}{m}in$

$16.$ Given that the computed volume is held constant, find the volume of water collected in $2\mathrm{.}25$ min $.$ in $c{m}^3$

a$.79\mathrm{.}52$ c $\mathrm{.}122\mathrm{.}76$

b$.100\mathrm{.}01$ d$.132\mathrm{.}34$