4.) The surfaces r = 2 and 5, 0 = 30° and 75°, and = 20° and 60° identify a closed surface. (a) Find the enclosed volume, (b) Find the total area of the enclosed surface. (c) Find the total length of the twelve edges of the surface, (d) Find the length of the longest straight line that lies entirely within the volume.

4.) The surfaces r = 2 and 5, 0 = 30° and 75°, and = 20° and 60° identify a closed surface. (a) Find the enclosed volume, (b) Find the total area of the enclosed surface. (c) Find the total length of the twelve edges of the surface, (d) Find the length of the longest straight line that lies entirely within the volume.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

subject: electromagnetics topic: vector analysis

4.) The surfaces r = 2 and 5, 6 = 30° and 75°, and = 20° and 60° identify a closed surface. (a) Find
the enclosed volume, (b) Find the total area of the enclosed surface. (c) Find the total length of
the twelve edges of the surface, (d) Find the length of the longest straight line that lies entirely
within the volume.

Calculus that deals with differentiation and integration of the vector field in three-dimensional Euclidean space. It deals with quantities that have both magnitude and direction.

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