Matlab

Problem 1 (25 marks) You are designing a spherical tank to hoid water for a small village in a developing country. The volume of liquid it can hoid can be computed as: 3R - h Where V -volume (m3), h R depth of water in tank (m), the tank radius (m). if R 3 m, what depth must the tank be filled to so that it holds 30 m3 ? Use three iterations of the Newton-Raphson method to determine your answer. Cainuiate the approximate relative error after each iteration. Take h 1 as the initial guess. Use: newton(1,0.0009) (25 points) Solution (2 points each) Iteration No. 2.3775 2.0380 2.0275