You are designing a spherical tank (Fig. 2) to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as [3R – h] V = #h? 3 Where V= volume (m), h=Ddepth of water in tank (m), and R = the tank radius (m). If R = 3 m, what depth must the tank be filled to so that it holds 30 m³? (a) Use three iterations of the Newton Raphson method to determine your answer.

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You are designing a spherical tank (Fig. 2) to hold water for a small village in a
developing country. The volume of liquid it can hold can be computed as
[3R – h]
-
V = Th²
3
Where V= volume (m³), h=depth of water in tank (m), and R = the tank radius (m). If
R = 3 m, what depth must the tank be filled to so that it holds 30 m³?
(a) Use three iterations of the Newton Raphson method to determine your
answer.
Transcribed Image Text:You are designing a spherical tank (Fig. 2) to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as [3R – h] - V = Th² 3 Where V= volume (m³), h=depth of water in tank (m), and R = the tank radius (m). If R = 3 m, what depth must the tank be filled to so that it holds 30 m³? (a) Use three iterations of the Newton Raphson method to determine your answer.
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