The volume of the body of revolution is () A. 8π3B. 10π3C. 6π3D. 32π3
By the title meaning, y = | x | and y = 2, the shadow part of the figure is enclosed. The revolving body is a cylinder, and two identical cones with common vertex are dug out. ∵ V cylinder = π· 22 · 4 = 16 π, 2V cone = 2 × π × 22 × 2 = 16 π 3 ∵ the volume of the geometric body is 16 π - 16 π 3 = 32 π 3