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A cylinder silo with radlus 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 calculates the surface area of the sllo. The height and surface area can be solved by the following equations: Radius ph. Radlus urface Area 5 40 45 00,000 250,000 00,000 50,000 400,000 5 . Total volume or the cylinder K'H . volume of sphere cap: Vup-In? (3R-h . Theta: sin(0) . Height of the cylinder, H:H ) where h-R-Rcos(8) R(1-os()) ace area of the cyinder and sphencal cap: S-Scyl + Scap-2xrH+2xRh Use the program to calculate the height and surface area of a silo with multiple cylindrical radi (rs), spherical rad (R's), and volumes vs). Display these the table below along with the results using the MATLAB bult-in function fprintf command to save the output toa file. (Round the final answers to four decimal places) Cyl. Redlus Sph. Redlus Volume Helght Surface Area