Solid angle orientation formula_9, and distance from the viewer as: where the surface area of a sphere is . The solid angle of a cone with its apex at the apex of the solid angle, and with apex angle 2, is the area of a spherical cap on a unit sphere For small such that , this reduces to the area of a circle . The above is found by computing the following double integral using the unit surface element in spherical coordinates: This formula can also be derived without the use of calculus. Over 2200 years ago Archimedes proved that the
Solid surface is priced to compete with natural stone or quartz surfacing. It is available in many colors and patterns. The material can be formed to shape, which makes it appealing to commercial and industrial designers. Specialist fabricators possess the skills and knowledge necessary to provide advice and customer service. Certain high-heat applications (anything above 400 F /200 C) are discouraged, due to the danger of cracking. Because scratches in solid surface appear white to the human eye, most dark colors are not recommended for high use areas. Solid surface Solid surface is a man-made material usually composed of a combination of