The ratio of the volume of a cylinder to the volume of a sphere is 3:2. Then the ratio of the side area of the cylinder to the surface area of the sphere is () A. 1:1B. 1:2C. 2:3D. 3:2

The ratio of the volume of a cylinder to the volume of a sphere is 3:2. Then the ratio of the side area of the cylinder to the surface area of the sphere is () A. 1:1B. 1:2C. 2:3D. 3:2

∵ the axial section of the cylinder is square, ∵ if the bottom radius of the cylinder is r, then the height of the cylinder is 2R, then vcylinder = 2R · π R2 = 2 π R3, if the ratio of the volume of the cylinder to that of a ball is 3:2, then vSphere = 43 π R3, then the radius of the ball is r, then the side area of the cylinder is S1 = 2R · 2 π r = 4 π R2, the surface area of the ball is s = 4 π R2, so the ratio of the side area of the cylinder to the surface area of the ball is 1:1, so a is selected