Suppose that o is a closed surface that encloses a solid region D. Show that the volume of D is given by V(D) (xi+yj+z k) · n dS ; where n is an outward unit normal vector to o.
Suppose that o is a closed surface that encloses a solid region D. Show that the volume of D is given by V(D) (xi+yj+z k) · n dS ; where n is an outward unit normal vector to o.
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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Transcribed Image Text:Suppose that o is a closed surface that encloses a solid region D. Show that the volume of
D is given by
v(D) = ||
(x i+ yj+z k) · n dS ;
where n is an outward unit normal vector to o.
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