Question

Matlab Questions (please show what code I need, including any comments):

You are asked to design a water storage tank with a capacity of 1,000 liters. The tank will be fabricated from stainless steel (rolled sheet), which cost $100/ sq. m. You are asked to consider three possible designs for the tank: Option 1 – a cube; Option 2 – a cylinder; Option 3 – a sphere. Calculate the cost of each of these designs and report the least expensive option.

• You should create a local function that has two inputs: tank capacity (volume) and material cost per sq. m. • Your function should evaluate and report the cost of each option ordered from lowest to highest. The output does not have to be fancy; something like this is adequate: Options: 3 1 2 Pricing ($): 90.8400 100.9100 123.4600 • For the cylinder, you can assume that the height and radius are equal (1 liter = 103 cm^3 = 10-3 m^3 )

Answer 1

Matlab :-

Function CompareCosts :-

Make sure to create separate file and name it CompareCosts.m, Don't Run this file.

function [] = CompareCosts(V,C)
% V :- Required capacity in m^3
% C :- Cost per sq.m

%############## Option 1 : A Cube ##############
a = V^(1/3);                    % minimum a to get required V
S_Cube = 6*a^2;                 % Surface Area
Cost_Cube = C*S_Cube;           % Total Cost


%############## Option 2 : A Cylinder ##############
r = (V/pi)^(1/3);               % minimum r to get required V
S_Cyl = 4*pi*r^2;               % Surface Area
Cost_Cyl = C*S_Cyl;             % Total Cost

%############## Option 3 : A Sphere ##############
R = (3*V/(4*pi))^(1/3);         % R to get required V
S_Sphere = 4*pi*R^2;            % Surface Area
Cost_Sphere = C*S_Sphere;       % Total Cost

% Creating a vector containg costs for all three, in order option 1,
% option2, option 3
% The indices are the option numbers
Costs = [Cost_Cube,Cost_Cyl,Cost_Sphere];

% Sorting and getting index after sorting
[sorted_costs,Ind] = sort(Costs);

% Now sorted_costs contain costs sorted in ascending order (min to max)
% and Ind contain indices after sorting (Option numbers in sorted form)

% Printing Results
fprintf("Options : %d %d %d",Ind)
fprintf("\nPricing($) : %.2f %.2f %.2f\n",sorted_costs)
end

Script :-

Make separate file with any name, and run this file.

clc; clear;

% Required Capacity in litres
V = 500;
% Capacity in m^3
V = V*10^(-3);
% Material Cost per sq.m
C = 100;

% Call the function to display result
CompareCosts(V,C)

result :-