a cylindrical silo with radius r has a spherical cap roof with radius R. the height of the cylindrical portion is H. write a program in a script file that determines the height H for given values of r, R and the volume V. In addition, the program also calculates the surface area of the silo. Use the program to calculate the height and surface area of a silo with r=30 m , R=45m and volume of 120000 cubic metre.. assign values for r,R and V in the command window.

Problem: A cylindrical silo with radius r has a spherical cap roof with radius R. the height of the cylindrical portion is H. write a program in a script file that determines the height H for given values of r, R and the volume V. In addition, the program also calculates the surface area of the silo. Use the program to calculate the height and surface area of a silo with r=30 m , R=45m  and volume of 120000 cubic metre.. assign values for r,R and V in the command window.


USING MATLAB 7.0 SOFTWARE


% in script file

theta=asin(r/R);

h=r*(1-cos(theta));

Vcap=pi*h^2*(3*R-h)/3;

H=(V-Vcap)/(pi*r^2);

s=2*pi*(r*H+R*h);

fprintf('the height H is %f mt',H)

fprintf('\n the surface area of silo is %f',s)

% command window

>> r=30;

>> R=45;

>> V=120000;

>> silo

the height H is 39.688478 mt

 the surface area of silo is 9641.068715>>