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12.6 Surface area and Volume of Spheres. Definitions . Sphere: is the locus pf points in space that are a given distance from a point. The center of the sphere is that point. Radius of a sphere: is a segment from the center to a point on the sphere.
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Definitions • Sphere: is the locus pf points in space that are a given distance from a point. The center of the sphere is that point. • Radius of a sphere: is a segment from the center to a point on the sphere. • Chord of a sphere: is a segment whose endpoints are on the sphere. • Diameter: is a chord that contains the center.
Cont. • If a plane intersects a sphere, the intersection is either a single point or a circle. If the plane contains the center of the sphere, then the intersection is a Great Circle. • Hemisphere: two congruent halves of a sphere.
Theorems • 12.11: The Surface area S of a sphere with radius r is S=4πr² • 12.12: The volume V of a sphere with the radius r is V=4/3πr³
Examples Find the Surface Area S=4πr² S= 4(3.14)(22²) S=4(1519.76) S=6079.04inches
Find Volume of Sphere V=4/3πr³ V=4/3(3.14)(22³) V=4/3(33434.72) V=44579.626
