研究所、轉學考(插大)-微積分題庫下載題庫

14. Let S denote the solid enclosed by x² + y² + z² = 2z and z² = x²+y².
(A) The length of of the curve determined by {(x, y, z) : x²+y²+z² = 2z and z² = x² + y²} is 2π.
(B) The volume of S is less than less than 2m/³.
(C) The volume of S is equal to w.
(D)當使用球面坐標系(r，θ，Φ),即x=rsinθcosΦ,y=rsinθsinΦ,z=rcosΦ時, S的體積等於
(E)S的表面積大於4π。