Question

Problem #2 .Calculate the volume and surface area of a torus from the minor radius r and major radius R. The equation for the volume of a torus i:s and the equation for the surface area of a torus is A = 4㎡Ar Your script should read-in values for the minor radius and major radius and display the calculated values with appropriate units. The units should also be read-in. Test your program for the following two cases: . Or-5in and R-15in 2 r 12 mm and R- 75 mm in m. file

Answer 1

MatLab program

clear all
clc
% minor radius
r=input('enter minor radius r: ');
% major radius
R=input('enter major radius R: ');
% units
fprintf('\n enter 1 if units is in inches');
fprintf('\n enter 2 if units is in mm');
i=input(': ');
A=pi^2*(R^2-r^2);
V=2*pi^2*r^2*R;
if i==1
    fprintf('\n Surface area=%.2f in^2',A);
    fprintf('\n Volume = %.2f in^3',V);
elseif i==2
    fprintf('\n Surface area=%.2f mm^2',A);
    fprintf('\n Volume = %.2f mm^3',V);
end
   

Screenshot

1 clear all 2 clo 3% minor radius 4 r=input('enter minor radius r: '); 5 % major radius 6 R=input('enter major radius R: '); 7% units 8 fprintf("\n enter 1 if units is in inches'); 9 fprintf('\n enter 2 if units is in mm'); 10 i=input(': '); 11 A=pi^2* (R^2-r^2); 12 V=2*pi^2*s^2*R; 13 if i==1 14 fprintf('\n Surface area=%.2f in^2',A); fprintf('\n Volume = %.2f in^3',V); 16 elseif i==2 17 fprintf('\n Surface area=%.2f mm^2',A); 18 fprintf('\n Volume = %.2f mm^3',V); 19 end 15

Save the above program and execute it.

Result

>> torus enter minor radius r: 5 enter major radius R: 15 enter 1 if units is in inches enter 2 if units is in mm: 1 Surface area=1973.92 in^2 Volume = 7402.20 in^3 >> torus enter minor radius r: 12 enter major radius R: 75 enter l if units is in inches enter 2 if units is in mm: Surface area=54095.30 mm^2 Volume = 213183.46 mm^3

I hope this will help you.