Ahigh ascent weather balloon is in the shape of cone pointing downwards. the cone has a height of h and a hemispherical top of a radius r. the surface area of the weather balloon is , and the volume is , where . for a weather balloon with a volume of 14000 , the surface area as a function of m is shown below.

Matlab capacity to ascertain the surface territory of an inflatable  

work surfaceArea = surfaceBalloon(Volume,M)  

Step-by-step explanation:

% Matlab capacity to ascertain the surface territory of an inflatable  

work surfaceArea = surfaceBalloon(Volume,M)  

% compute R  

cubeOfR = 3 * Volume * ones(1,length(M));  

cubeOfR = cubeOfR ./(pi * (M+2));  

R = power(cubeOfR,1/3);  

% compute surface zone  

power1 = power(M,2);  

power1 = 1+ power1;  

power1 = power(power1,1/2);  

power1 = 2 + power1;  

surfaceArea = pi .* power(R,2) .* power1;  

end  

% End of capacity  

% Matlab content to utilize work surfaceBalloon to locate the surface zone of  

% expand  

clc;  

V = 14000;  

M = (0:10);  

surfaceArea = surfaceBalloon(V,M);  

plot(M,surfaceArea);  

xlabel('M');  

ylabel('Surface Area m^2');  

ylim([2900 5000]);  

title('M v/s Surface Area of an inflatable');  

saveas(gcf,'surfaceAreaPlot','png'); % spare the chart  

% end of primary content

a. the residual plot for model 1 has a random pattern and is a good fit for the data.