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 = I?h2 [3R - h]/3 2. Where V = volume [m3], h...

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 = I?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?