A fuel tank is made of a half cylinder (r = 14 in.) as shown. The amount of fuel

Question

A fuel tank is made of a half cylinder (r = 14 in.) as shown. The amount of fuel in gallons as a function of h is given by V_fuel = 36 [r^2 cos^-1 (r - h/r) - (r - h) Squareroot 2 rh - h^2] rightarrow gallon/231 Write a script file that creates a vector for h ranging from 0 to 14 in. with increments of 2 in. Then it calculates the corresponding volume rounded to the nearest tenth of a gallon. The results must be displayed in a two-column table format where the first column is the values of h and the second column is the associated values of the volume of fuel in the tank (in gallons). Save your results to an ASCII format data file with the name Lab4Prob1.txt that can be read by MATLAB or a text-editor on virtually any platform.

Explanation / Answer

volume = @(r,h) 36*((r^2)*acos(1 - h/r) - (r-h)*sqrt(2*r*h-h*h));
fileID = fopen('Lab4Prob.txt','w');
r = 14;
for h = 0:2:14
    fprintf(fileID,'%d %d ',h,volume(r,h))
end
fclose(fileID);

Pleae note that am having trouble understanding the volume formula... Please verify it. If am incorrect, please let me know the correct formula.. else I shall investigate. Apart form that I hope you will like the code!

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