MathCastle
Multivariable CalculusChallengeTriple Integrals & Coordinate Systems

Triple Integrals & Coordinate Systems · Challenge problem

Find the volume of the solid that lies inside the sphere x2+y2+z2=4zx^2 + y^2 + z^2 = 4z and above the cone z=x2+y2z = \sqrt{x^2 + y^2}. Give your answer in terms of π\pi.