A sphere is a three-dimensional shape that is perfectly round, with all points on its surface equidistant from its center. It is a type of solid geometric figure and is often referred to as a "ball". The surface area and volume of a sphere are important properties that can be calculated using specific formulas.
Properties of a Sphere:
Surface Area: The surface area of a sphere is given by the formula: 4πr2, where r is the radius of the sphere.
Volume: The volume of a sphere is given by the formula: (4/3)πr3, where r is the radius of the sphere.
Center: The center of a sphere is the point equidistant from all points on its surface.
Radius: The radius of a sphere is the distance from the center to any point on its surface.
Diameter: The diameter of a sphere is the distance across the sphere through its center, and it is twice the length of the radius.
Understanding the properties and formulas related to spheres is essential for solving problems and working with three-dimensional shapes in geometry and real-world applications.