As these proud and suspicious champions of competing ideologies consolidated their hold over their respective spheres of influence, areas still in dispute became flash points for recurrent cold war crises.
He established analogous results for the sphere showing that the volume of a sphere is equal to that of a cone whose height equals the radius of the sphere and whose base equals its surface area; the surface area of the sphere he found to be four times the area of its greatest circle.
The surface area of a sphere is the area covering the outside of the sphere -- think of it as the rubber covering a kickball or the surface of the earth.
As European powers extended their sway throughout the world, colonies and spheres of influence in areas remote from Europe came increasingly to preoccupy their diplomacy.
Assuming a specific membrane capacitance of 1 pF per 100 μm, we calculated for each cell the ratio of surface membrane area to the area of a sphere with the cell diameter.
After drying the sol gel spheres under alcohol supercritical drying conditions, aerogel spheres with a bulk density of 0.8 1.0 g/cm3were prepared, and by subsequently pyrolyzing them, CA spheres with surface areas of 250 650 m2/g were obtained.
The n appearing in Eq. (4) is the empirical shape factor given by n = 3/Ψ, where Ψ is the sphericity defined as the ratio between the surface area of the sphere and the surface area of the real particle with equal volumes.
The same foreign powers had divided much of China into "spheres of influence", keeping large areas of the country under their control through a system of unequal treaties backed by the threat of military force.
In On the Sphere and Cylinder, he showed that the surface area of a sphere with radius r is 4πr2 and that the volume of a sphere inscribed within a cylinder is two-thirds that of the cylinder.
The surface area of a sphere is 4πr2, and the surface area of the circumscribing cylinder is 6πr2.
If the radius of a sphere is 7 centimeters, what is the surface area of that sphere?
