Find the volume of the solid in R^3 above the plane z = 0 and below...

Find the volume of the solid in R^3 above the plane z = 0 and below the surface z = 4 − x^2 − y^2.

Solutions

Expert Solution

The given surface is,

put z = 0,

Hence the given region D is the circle with radius 2 in XY plane,

The volume of the solid is given by,

using polar coordinates as follows,

Now the integral in polar becomes,

integrate wrt r,

integrate wrt theta,

milcah answered 1 year ago

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