1. The problem statement, all variables and given/known data Parametrize the portion of the sphere given by x2 + y2 + z2 = 7 that lies above z = √3. (use cylindrical coordinates) 2. Relevant equations x2 + y2 = r2 3. The attempt at a solution x = rcosθ y = rsinθ z = z z = √3 x2 + y2 + (√3)2 = 7 x2 + y2 = 4 r2cos2θ + r2 sin2θ = 4 r2 (cos2 + sin2θ) = 4 r = 2 Is this the correct way of parametrization?