Can someone find the volume to thisssss
1 answer:
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The last answer is the correct one.
If it does not make sense ask for clarification.
If it does not make sense ask for clarification.
Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.
a. The boundary of the hemisphere is the circle in the plane
, where the curl is
. Green's theorem applies here, so that
which means the value of the line integral is 3 times the area of the circle, or .
b. The closed sphere has no boundary, so by Stokes' theorem the integral is 0.