MATLAB Practice Problem

Please develop a script file as described below. You are to submit the MATLAB script file named Script$\_$yourlastname.m to Gradescope. Note that this is an ungraded exercise for practice only.

Assignment Description:

The volume of a solid sphere is given by:

$V=\frac{4}{3}{R}^3$

where $R$ is the radius of the sphere.

You are to write a script file that will calculate and plot the volume of spheres with radius ranging from $1$ in$.$ to some maximum radius $($in inches$)$ specified by the user of the program as described below.

The script should:

Prompt the user for the maximum radius $(r$ max$)$ in inches

Print a nicely formatted message to the command window that says 'Generating $100$ points from $1$ to $x.x$ inches' $($x$.$x represents the value of $r$ max$)$

Create $100$ radius values linearly spaced between $1$ and rmax

Calculate a vector of $V$ values corresponding to the vector of $R$ values

Plot $V$ as a function of $R$ with a blue line

Label the $x-$axis 'Radius' with units of in$.($in$.$ for inches$)$

Label the $y-$axis 'Volume' with units of in$.{?}^3$

Title the plot 'Volume of a Solid Sphere'

Note: rmax$=6$ inches would be a good value to use when checking the program