You are designing a spherical tank to hold water for a small barangay, in Cebu City. The volume of liquid can hold can be computed as 3R – h V = nh²- 3 where V = volume in (m), h = depth of water in the tank (m), and R = the tank radius (m). If R = 3m, to what depth must the tank be filled so that it holds 30m? Use bisection method to determine the approximate depth up to three iterations (x). (Employ initial guesses between 0 to R, and express your answer up to 4 decimal places.)

You are designing a spherical tank to hold water for a small barangay, in Cebu City. The volume of liquid can hold can be computed as 3R – h V = nh²- 3 where V = volume in (m), h = depth of water in the tank (m), and R = the tank radius (m). If R = 3m, to what depth must the tank be filled so that it holds 30m? Use bisection method to determine the approximate depth up to three iterations (x). (Employ initial guesses between 0 to R, and express your answer up to 4 decimal places.)