About this topic
Before you begin
Find arc lengths, volumes by discs or shells, and surface areas of revolution.
Learning goals
- Calculate arc lengths of curves in Cartesian form
- Choose discs or shells to calculate a volume of revolution about either axis
- Calculate surface areas of revolution about either axis
Syllabus statements covered
- Include: arc length of curves defined in cartesian form; volume of revolution about the x- or y-axis for curves defined in cartesian form using discs or shells as appropriate; surface area of revolution about the x- or y-axis for curves defined in cartesian form.
In this topic
Arc length, volumes and surface area
Find arc lengths, choose discs or shells for volumes of revolution about either axis, and find surface areas of revolution.