Solid Sphere
Volume, V

Total Surface Area, or Surface Area,

Solid Hemisphere
Volume, V

Curved Surface Area,

Total Surface Area,

Frustum of a Cone:-

Slant Surface area of the frustum:

where l is the slant height of the frustum.

Volume of the frustum,

where h is the height of the frustum.

Frustum of a pyramid:-

Volume,

where B1 and B2 are areas of the top and the bottom and h is its height..

Parallelepiped

The volume of a parallelepiped of cross-sectional area A and height h is

or, equivalently,

where a, b, and c are the side lengths and θ is the angle between the slanted side and the horizontal.

Slanted Cylinder

The volume of a slanted cylinder with radius r, height h and slant height l is given by

or, equivalently,

where θ is the angle between the slanted side and the horizontal.

The lateral surface area of the slanted cylinder is given by

Non-circular Cylinder

The volume of a non-circular cylinder of cross-sectional area A, height h and slant height l is given by

or, equivalently,

where θ is the angle between the slanted side and the horizontal.

The lateral surface area of the non-circular cylinder is given by

where p is the perimeter of the non-circular cylinder. Note that the equations for circular cylinders may be derived from the equations for non-circular cylinders, by having A = πr² and p = 2πr.

Pyramid

The volume of a pyramid of base area A and height h is given by

Spherical Cap

The volume of a spherical cap of radius r and height h is given by

The surface area of the spherical cap is given by

Ellipsoid

The volume of an ellipsoid of semiaxes a, b, and c is given by

Paraboloid of Revolution

The volume of a paraboloid of revolution with "radius" b and height a is given by

Note: Would it be useful if someone were to create labeled images of these shapes to aid in the visualization of them? I could make a few drawings.

Also, should formulas of solid analytic geometry go here as well?

Polygon