Plotting 3D parametric surfaces

I'm trying to plot the following surfaces on matlab but I'm unsure how to go about it, especially where some have unknown parameters like in (a) how there are the variables a and b.

Answer 1

[Prabhan Purwar]

Hi,

Variable a and b tends to be constants. Equation of ellipsoid as in your (a) part of the question is as follows:

x^2/a^2 + y^2/b^2 + z^2/c^2 = 1 .

Following code may help:

clc
close all
clear

a=1;
cb=2;
l=-3.14:0.1:3.14; %lemda
b=-3.14/2:0.1:3.14/2;
[X,Y]=meshgrid(l,b);

x=a.*cos(X).*cos(Y);
y=a.*sin(X).*cos(Y);
z=cb.*sin(Y);

r=surf(x,y,z);

Output:

Similarly other parts of the question can be solved.

Following links may help:

• https://in.mathworks.com/help/matlab/ref/ndgrid.html (ngrid)

• https://in.mathworks.com/help/matlab/ref/meshgrid.html (meshgrid)