A water tank consists ot a cylindrical part of radius r and height h. and a hemi

Question

A water tank consists ot a cylindrical part of radius r and height h. and a hemispherical top. The tank is to be constructed to hold 500 m of fluid when filled. The surface area of the cylindrical part is 2pirh, and its volume is pir2h. The surface area of the hemispherical top is given by 2pir2. and its volume is given by 2pir3/3. The cost to construct the cylindrical part of the tank is $300/m2 of surface area; the hemispherical part costs $400/rn2. Plot the cost versus r for 2 r 10 m, and determine the radius that results in the least cost. Compute the corresponding height h.

Explanation / Answer

i have uploaded he code and plot in jpg format in this drive please check it

https://drive.google.com/folderview?id=0BwqCw_0WgOYPYndxcFdwa2VqUXM&usp=sharing

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