You are designing a spherical tank Figure to hold water for a small village in a developing country The volume of liquid it can hold can be computed as V h 2 3R h 3 2 Where V volume m 3 , h depth of water in tank m , and R the tank radius m If R m, to what depth must the tank be filled so that it h...

The equation to be solved is Here is a summary of the results obtained with three ite ...

You are designing a spherical tank Figure to hold water for a small village in a developing

Question:

You are designing a spherical tank Figure to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as V = ?h² [3R - h]/3 2. Where V = volume [m³], h = depth of water in tank [m], and R = the tank radius [m].

If R = m, to what depth must the tank be filled so that it holds 30 m3? Use three iterations of the false-position method to determine your answer. Determine the approximate relative error after eachiteration?