A sphere of radius 3 inches is sliced with two parallel planes: one passes through the equator
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Question:
A sphere of radius 3 inches is sliced with two parallel planes: one passes through the equator and the other is H inches above the first plane. The resulting portion of the sphere between the two planes is called a spherical segment; see the picture:
(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:
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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