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Solid Geometry FormulasSolid Geometry Formulas "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #2 20060402 23:46:37
Re: Solid Geometry FormulasCube: Total Surface Area, Curved Surface Area, Cone (Solid) If r is the radius of the base of the cone, and h its height, its slant height is given by the formula, l=√(r²+h²). Curved Surface Area, Total Surface Area, Character is who you are when no one is looking. #3 20060404 01:33:45
Re: Solid Geometry FormulasSolid Sphere Total Surface Area, or Surface Area, Solid Hemisphere Volume, V Curved Surface Area, Total Surface Area, Character is who you are when no one is looking. #4 20060404 01:45:56
Re: Solid Geometry FormulasHollow cylinder. Curved Surface Area, Total surface Area, Character is who you are when no one is looking. #5 20060408 20:56:47
Re: Solid Geometry FormulasFrustum of a Cone: 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.. Character is who you are when no one is looking. #6 20060619 05:05:47
Re: Solid Geometry FormulasTorus: Volume of the torus: Last edited by lucadeltodesco (20060619 05:07:18) The Beginning Of All Things To End. The End Of All Things To Come. #7 20060806 11:02:54
Re: Solid Geometry FormulasParallelepiped 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 Noncircular Cylinder The volume of a noncircular cylinder of crosssectional 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 noncircular cylinder is given by where p is the perimeter of the noncircular cylinder. Note that the equations for circular cylinders may be derived from the equations for noncircular 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? #9 20080315 06:27:15#10 20110801 12:12:18
Re: Solid Geometry Formulasor... 