$1.$ Write a MATLAB program that calculates and displays the volume of a sphere when given the radius.

The volume calculation must be performed in a function called Sphere Volume. The formula

for volume is:

$v=\frac{3}{4}{r}^2$

$2.$ A Taylor Series is an expansion of some function into an infinite sum of terms, where each

term has a larger exponent like $x,x^2,x^3.$ Write a program and discuss the accuracy of this series

in predicting the exponential function $(e^x)$ based on the order $(n).($hint: discuss how the order

$n$ affects the accuracy of the series$).$

Note: You are not allowed to use the pre$-$defined commands like Taylor series command in

MATLAB. You need use simple commands like $"$If loop", "For loop", "While loop", etc.

$e^x={\displaystyle \underset{n=1}{\overset{}{}}}{x}^n=1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+$cdots$+\frac{x^n}{n!}$