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Question
question 15 of 25
which of the following is a solid bounded by the set of all points at a given distance from a given point?
a. cube
b. sphere
c. cylinder
d. cone
A sphere is defined as the set of all points in space that are at a given distance (radius) from a given point (center). A cube has edges and vertices with varying distances from its center. A cylinder has circular bases and a height, so not all points are at the same distance from a single point. A cone has a circular base and a pointed top, with different distances from its apex. Only a sphere meets the criteria of being bounded by all points at a given distance from a given point.
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B. Sphere