MathCastle
Multivariable CalculusChallengeTriple Integrals & Coordinate Systems

Triple Integrals & Coordinate Systems · Challenge problem

Find the volume of the solid ρ≤2sin⁡ϕ\rho \le 2\sin\phi (spherical coordinates, ϕ\phi measured from the positive zz-axis). Give your answer in terms of π\pi.