A sphere is a perfectly symmetrical geometric object that is three-dimensional, with all points on its surface equidistant from a single point known as the center. Here are some key attributes of a sphere:
- Round Shape: A sphere has a round shape, similar to that of a ball. Unlike other three-dimensional shapes, it has no edges or vertices.
- Surface Area: The surface area (A) of a sphere can be calculated using the formula A = 4πr², where r is the radius of the sphere.
- Volume: The volume (V) of a sphere is given by the formula V = (4/3)πr³, indicating the amount of space it occupies.
- Curvature: A sphere has a constant positive curvature and it is the same in all directions from the center.
- Cross-Sections: Any plane cross-section through the center of a sphere divides it into two equal hemispheres and is always a circle.
In mathematics, a sphere can be described by the equation (x - h)² + (y - k)² + (z - l)² = r² in Cartesian coordinates, where (h, k, l) is the center of the sphere and r is its radius.
In physical reality, no object is a perfect sphere due to imperfections and external forces, but many objects approximate spherical shapes, such as planets, bubbles, and balls used in various sports.
Which if the following describes a sphere
1 answer