PLEASE CODE ON MATLAB

Generate a function file that calculates the volume of a right circular cone Volume $=\frac{1}{3}{r}^{2}h$ and the Surface Area $=r(r+\sqrt[\phantom{2}]{h^2+r^2}).$ Note that according to the figure to the right, $r$ is the base radius and $h$ is the height. Your function must meet the following requirements for full points:

a$.$ Must be a function with $2$ inputs $($radius and height$)$ and $2$ outputs $($surface area and volume$)$

b$.$ The user can input a range of radius values from the

Figure $1-$Right Circular Cone with a radius $r$ and a height $h$ when running your function and the user will be required to input a constant height.

i$.$ Design your function so that the radius can be inputted as an array and your height will remain constant. That means you need to do proper index multiplication.

c$.$ The output of volumes and surface areas should be outputted in the Command Window

d$.$ A $31$ subplot should be generated that shows:

i$.$ Subplot $1$: Only the Surface area is plotted as a function of radius with a constant height the user inputted.

ii$.$ Subplot $2$: Only the Volume is Plotted as a function of radius with the same constant height the user inputted.

iii. Subplot $3$: Both the surface area and volume as a function of radius on the same figure. Use a constant height for both.

e$.$ The plot must be properly labeled

Should have labels on the $x-$axis, $y-$axis, a title, a legend. Decide what units of measurement you want to use $($inches$,$ meters, etc$).$

f$.$ The data points should be unique in style and color

g$.$ Each line of the code should be commented