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Assoli18 [71]
2 years ago
14

A sphere of radius 3 inches is sliced with two parallel planes: one passes through the equator and the other is H inches above t

he first plane. The resulting portion of the sphere between the two planes is called a spherical segment; see the picture: In Math 125, you will show that the volume V of the spherical segment is given by this formula (which we will assume): V = (π/3)H(27 – H2). Give EXACT ANSWERS to the questions below. (a) Find the volume of the spherical segment if H=1: (b) Find the rate of change of the volume with respect to H of the spherical segment at H=1: (c) Use the tangent line approximation at H=1 to estimate the value of H that will yield a spherical segment having volume 25 cubic inches:

Mathematics
1 answer:
Leni [432]2 years ago
6 0

Answer:

V = (π/3)H(27 – H2) : Please see attachment

a. Volume =26π/3

b.rate of change of the volume with respect to H = 8π

c.H=0.0114 inch

Step-by-step explanation:

Please see attachment

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