I need help about my homework. It shold be answered in code as in MATLAB Thanks

Question

I need help about my homework. It shold be answered in code as in MATLAB

Thanks

A water tank consists of a cylindrical part of radius r and height h, and a hemispherical top. The tank is to be constructed to hold 500 m3 of uid when lled. The surface area of the cylindrical part is 2 t pi rh, and its volume is pi r2 h. The surface area of the hemispherical top is given by 2 pi r2, and its volume is given by 2 pi r3/3. The cost to construct the cylindrical part of the tank is $300/m2 of surface area; the hemispherical part costs $400/m2. Plot the cost versus r for 2 10 m, and determine the radius that results in the least cost. Compute the corresponding height h.

Explanation / Answer

pi=3.14;

% Volume V=pi*r^2*h+(2/3)*pi*r^3 = 500;

% 500=pi r^2 h+ 2/3 pi r^3

% writing h in terms of r --> h =(500-2/3 pi r^3)/(pi r^2)

r=2:0.2:10;

h=(500-(2/3)*pi*r.^3)./(pi*r.^2);

% Cost

C=2*pi*r.*h*300+2*pi*r.^2*400;

plot(r,C);

minimum at r=5m,

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