The lateral surface area of a cone is given by: S = pi*r*sqrt(h^2+r^2)

Where r is the radius of the cone and h is the height.

Using Matlab write a code to solve these problems:

a) Determine the radius of a cone which has a surface are of 1200m^2 and a height of 20m using the Bisection Method. Do not use the built in bisect function.

b.) Determine the height of a cone which has a surface area of 1300m^2 and a radius of 18m using the False Position Method. Do not use Falspos.p.