Solid of Revolution

To find the Volume of a solid of rotation by adding up a sequence of thin cylindrical shells, consider a regionbounded above by , below by , on the left by the Line , and on the right by theLine . When the region is rotated about the y-Axis, the resulting Volume is given by

To find the volume of a solid of rotation by adding up a sequence of thin flat disks, consider a region bounded above by , below by , on the left by the Line , and on the right by the Line . Whenthe region is rotated about the x-Axis, the resulting Volume is

• Planar Space
• Planar Straight Line Graph
• Plancherel's Theorem
• Planck's Radiation Function
• Plane
• Plane Curve
• Plane Cutting
• Plane Division
• Plane-Filling Curve
• Plane-Filling Function
• Plane Geometry
• Plane Partition
• Plane Symmetry Groups
• Planted Planar Tree
• Plastic Constant
• Plat
• Plateau Curves
• Plateau's Laws
• Plateau's Problem
• Platonic Solid
• Plato's Number
• Platykurtic
• p-Layer
• Playfair's Axiom
• Plethysm