Surface of revolution never negative, the area is given by If the curve is described by the function , , then the integral becomes for revolution around the -axis, and for revolution around the "y"-axis (using ). These come from the above formula. For example, the spherical surface with unit radius is generated by the curve , , when ranges over . Its area is therefore For the case of the spherical curve with radius , rotated about the -axis A minimal surface of revolution is the surface of revolution of the curve between two given points which minimizes surface area. A basic
Solid surface injected into molds to produce various solid decorative design figures. Solid-surface manufacturing companies may be members of the trade organizations American Composites Manufacturers Association, ISFA (International Surface Fabricators Association, and ICPA (International Cast Polymer Association). These organizations identify the product under the "brand" of MasterCast Engineered Composites. Solid surface can also be moulded using dedicated moulds. For example free standing baths are manufactured using a 2-part mould tool which creates a cavity for the material to be poured into. Once the mould has been prepared for casting, the material is mixed and degassed in an automated casting machine. It is