Math  /  Calculus

Question5. Find the integral of f(x,y,z)=8z3f(x, y, z)=8 z^{3} over the region in space bounded below by the xyx y-plane and bounded above by the hemisphere z=4x2y2z=\sqrt{4-x^{2}-y^{2}}.

Studdy Solution
The integral of 8z38z^3 over the given region is 128π3\frac{128\pi}{3}.

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