You are designing a spherical tank (as shown in the figure) to hold a water for a small village in a developing country. The volume of liquid it can hold can be computed as [3R – h] V = nh². where V = volume (m³), h = depth of water in tank (m), and R = the tank radius (m). 3 If R = 4m, to what depth must the tank be filled so that it holds 40 m³? Use the regula – falsi method in interval (1,2) having tolerable error < 0.0001. (Remarks: input your function in MATLAB in variable x)

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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You are designing a spherical tank (as shown in the figure) to hold a water for a small village in a developing
country. The volume of liquid it can hold can be computed as
[3R – h]
V = nh?-
where V = volume (m³), h = depth of water in tank (m), and R = the tank radius (m).
3.
If R = 4m, to what depth must the tank be filled so that it holds 40 m3? Use the regula – falsi method in
interval (1,2) having tolerable error < 0.0001. (Remarks: input your function in MATLAB in variable x)
Transcribed Image Text:You are designing a spherical tank (as shown in the figure) to hold a water for a small village in a developing country. The volume of liquid it can hold can be computed as [3R – h] V = nh?- where V = volume (m³), h = depth of water in tank (m), and R = the tank radius (m). 3. If R = 4m, to what depth must the tank be filled so that it holds 40 m3? Use the regula – falsi method in interval (1,2) having tolerable error < 0.0001. (Remarks: input your function in MATLAB in variable x)
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