Solution (A) = 3 x = 1 = 6 R H = 4 x The solid of revolution is generated by rotating the line in the = 3. x V interval about the axis The volume is How to approach the problem: Sketch the function and the solid. Give the equations for the = 2 x shape of the solid. Find = 2 = 6 R H the upper and lower = 4 x limits for the bounded The solid of revolution is generated by rotating the line in the region. = 2. x V interval about the axis The volume is Evaluation the definite integral to find the volume. = 4 x By symmetry, the volume of the cylinder is the same as the rotation = 2 x about the line = 0 x The volume of the solid of revolution by the method of cylindrical shells
How to approach the problem: Sketch the function and the solid. Give the equations for the shape of the solid. Find the upper and lower limits for the bounded region. Evaluation the definite integral to find the volume. Solution (A) x = 3 R = 1 H = 6 The solid of revolution is generated by rotating the line x = 4 in the interval about the axis x = 3. The volume V is x = 2 R = 2 H = 6 The solid of revolution is generated by rotating the line x = 4 in the interval about the axis x = 2. The volume V is x = 4 By symmetry, the volume of the cylinder is the same as the rotation about the line x = 2 x = 0 The volume of the solid of revolution by the method of cylindrical shells
vol5_p001.docx