Question: Consider the S surface defined by Z : 1 Consider the S surface defined by 1 1 < z < oo (a) (b) (c) (d)

Consider the S surface defined by 1 1 < z < oo

Consider the S surface defined by Z : 1

Consider the S surface defined by 1 1 < z < oo (a) (b) (c) (d) Find a parametrization of S by polar coordinates (r, 0) where 0 < r < 1. Find the volume bounded by S and the plane z = 1. Find the surface area of S. Briefly explain why the answers to (b) and (c) are paradoxial.

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