Hello, please help me with $($a$)$ and $($b$)$ and use MATLAB script, thank you!

A paper cup shaped as a frustum of cone with

$R_2=1\mathrm{.}25R_1$ is designed to have a volume of $250c{m}^3.$

Determine $R_1,R_2,$ and the surface area, $S,$ of the paper

for cups with heights $h,$ of $5,6,7,8,9,$ and $10$ cm $.$

The volume of the cup, $V,$ and the surface area of the

paper are given by:

$V=\frac{1}{3}h(R_1^2+R_2^2+R_1{R}_2)$

$S=(R_1+R_2)\sqrt[\phantom{2}]{(R_2-R_1{)}^2+h^2}+R_1^2$

and imagine the following scenario: You have been put in charge of

overseeing production of paper cups in this factory. As a new Plant$-$Engineer

you are given the following tasks:

$[$a$,25$ points$]$ Your first task is to provide the Production Department with

the cups' dimensions that would maximize profit. What are your

recommendations? Explain your rationale in making such a recommendation.

$[$b$,15$ points$]$ While reviewing customers' satisfaction surveys, you realize

that, although the cups are designed to hold $250c{m}^3,$ you could actually

meet client's demands by making cups that can hold a volume as low as $200$

$c{m}^3.$ If you repeat the calculations, would you change the recommendations

you made in $($a$)?$ Why? Explain your rationale.