QUESTION 2 In the comparison between \"disk method\" and \"cylindrical shell met
ID: 2884517 • Letter: Q
Question
QUESTION 2 In the comparison between "disk method" and "cylindrical shell method" (or simply, "shell method"), which of the following statements are true? (select all true statements) For shell method, the variable of integration is the same as the variable corresponds to the axis of revolution For shell method, the variable of integration is the same as the variable corresponds to an axis that is perpendicular to the axis of revolution. For disk method, the slices are perpendicular to the axis of revolution. For the shell method, the integrand is the area of the circular For the shell method, the integrand is the surface area of a cylinder inside the solid. For shell method, all the cylindrical shells share the same axis which is exactly the axis of revolution. For disk method, the slices are parallel to the axis of revolution. For the disk method, the integrand is the area of the circular cross section O For disk method, the variable of integration is the same as the variable corresponds to the axis of revolution. For disk method, the variable of integration is the same as the variable corresponds to an axis that is perpendicular to the axis of revolution. For the shll method, the integrand is the volume of a solid cylinder inside the solid of revolution. For shell method, all the cylindrical shells share the same axis which is perpendicular to the axis of revolution.Explanation / Answer
The true statements are:
1.For the shell method the variable of the integration is the same as the variable corresponds to an axis that is perpendicular the axis of the revolution.
2.For disk method, the slices are perpendicular to the axis of revolution.
3.For the shell method, the integrand is the surface area of a cylinder inside the solid.
4.For shell method, all the cylindrical shells share the same axis which is exactly the axis of revolution.
5.For the disk method, the integrand is the area of the circular cross section.
6.For disk method, the variable of integration is the same as the variable corresponds to the axis of revolution.