A sphere is a three-dimensional geometrical shape that is perfectly symmetrical around its center. Here are some key characteristics that describe a sphere:
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Equidistant Points: Every point on the surface of a sphere is at the same distance (the radius) from the center.
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No Edges or Vertices: A sphere has no edges or vertices; it is completely rounded.
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Surface Area: The surface area of a sphere is calculated using the formula \( A = 4\pi r^2 \), where \( r \) is the radius.
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Volume: The volume of a sphere can be calculated using the formula \( V = \frac{4}{3}\pi r^3 \).
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Great Circles: Any slice of a sphere through its center creates a great circle, which is the largest possible circle that can be drawn on the sphere’s surface.
If you have specific options listed, I can help you determine which one is correct based on these characteristics.