Sphere and Hemisphere: Standard Formulas A sphere is a 3D figure with constant radius, meaning its distance from a center point is always the same. The...
A sphere is a 3D figure with constant radius, meaning its distance from a center point is always the same. The hemisphere is a section of the sphere that lies above or below the plane of the equator.
Standard formulas are used to calculate the area and circumference of both a sphere and a hemisphere:
1. Sphere:
Area: A = 4πr², where r is the radius.
Circumference: C = 2πr, where r is the radius.
2. Hemisphere:
Area: A = πr², where r is the radius.
Circumference: C = 2πr, where r is the radius.
Examples:
Sphere: A sphere with a radius of 5 cm has an area of 78.5 cm² and a circumference of 31.4 cm.
Hemisphere: A hemisphere with a radius of 6 m has an area of 28.31 m² and a circumference of 37.7 m.
Note: These formulas are applicable to both solid spheres and hollow spheres with concentric spherical cavities