You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed as V = nh²(3h) where V = volume [m³], h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 2 iterations to find the height (h=?) for storing 28 m³ of water with 11 m diameter-tank. Take 7 = 3.1416 and initial guess for h=R.

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You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed as
V = nh?(3h)
where V = volume [m³], h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 2 iterations to
find the height (h=?) for storing 28 m³ of water with 11 m diameter-tank. Take T =
%3D
3.1416 and initial guess for h=R.
Choices
1.451
1.422
1.8863
1.7412
Submit I Attempts 1 I
Transcribed Image Text:You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed as V = nh?(3h) where V = volume [m³], h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 2 iterations to find the height (h=?) for storing 28 m³ of water with 11 m diameter-tank. Take T = %3D 3.1416 and initial guess for h=R. Choices 1.451 1.422 1.8863 1.7412 Submit I Attempts 1 I
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