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Calculus, Multivariable 3rd Edition

Calculus, Multivariable (3rd Edition)

Book Edition3rd Edition
Author(s)Briggs, Cochran
PublisherPearson Higher Education

Chapter 16, Section 16.1, Quick Check, Exercise 1

Page 1010

Here is a tip:

The rectangular boxes do not completely cover the space occupied by the solid.

Verified Answer

  • The volume of a solid can be computed by taking the sum of all rectangular boxes. Since these boxes do not exactly occupy the whole solid under the surface, the sum for the volume of a solid is an approximation.
  • This approximation is improved by increasing the number of boxes, which covers the whole solid under the surface.
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