A
sphere is the set of all points in space that are equidistant from a fixed point (the
center).That distance is the
radius of the sphere. Because a sphere has no bases, its area is referred to as its
surface area.
Theorem 99: The surface area,
S, of a sphere with radius
r is given by the following equation:
Theorem 100: The volume of a sphere,
V, with radius
r is given by the following equation:
Example 1: Figure
1 represents a sphere with radius
r. If
r = 9 cm, find (a)
S and (b)
V.
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Figure 1
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Finding the surface area and volume of a sphere.
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See Figure
2 Summary of formulas concerning geometric solids.
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Figure 2
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Summary of formulas concerning geometric solids.
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Fundamental Ideas
Geometric Solids
