Question

In MATLAB create a code for

An ellipsoid of revolution is the solid analog of a two-dimensional ellipse. The equations for an ellipsoid of revolution rotated around the x axis are * = a cos o cos y = b cos sin e (8.22) 2 = b sin where a is radius along the x-axis and b is the radius along the y- and z-axes. Plot an ellipsoid of revolution for a = 2 and b = 1.

Answer 1

Code for the plot:

% Code to plot an ellipsoid with given equations and values of a and b

% Where, a = radius along the x axis

% b = radius along the y and z axes

a = 2;

b = 1;

[phi,theta] = ndgrid(linspace(0,2*pi),linspace(0,pi));

x = a*cos(phi).*cos(theta);

y = b*cos(phi).*sin(theta);

z = b*sin(phi);

surf(x,y,z)

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Screenshot:

1 > MATLAB Drive > Figure 1 x + WORKSPACE OLDER Name Value Size Class a 2 1x1 double b double 1 1x1 100X100 d... 100x100 phi double 1 HHH EH EH EHE theta double double 0.5 100X100 d... 100x100 100*100 d... 100x100 100X100 d... 100x100 100X100 d... 100x100 | у double Z double 0 -0.5 - 1 1 0.5 2 1 -0.5 -1 -2 COMMAND WINDOW >> a. 2; >> b= 1; >> [phi, theta] = ndgrid(linspace(0,2*pi), linspace(@,pi)); >> X = a*cos(phi). *cos(theta); >> y = b*cos(phi). *sin(theta); » i = b*sin( phi); >> surf(x,y,z)

COMMAND WINDOW >> % code to plot an ellipsoid with given equations and values of a and b >> % Where, a = radius along the x axis b = radius along the y and z axes >> a = 2; >> b = 1; >> [phi, theta] = ndgrid(linspace(0,2*pi),linspace(@,pi)); >> X = a*cos(phi). *cos(theta); >> y = b*cos(phi).*sin(theta); > z = b*sin( phi); >> surf(x,y,z)

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