Volume and Area of a Sphere

Definition

A sphere is a perfectly round geometrical object in 3D space that is the surface of a completely round ball.

Sphere Facts

Here are some interesting facts about sphere:

  • It is perfectly symmetrical
  • All points on the surface are the same distance “r” from the center
  • It has no edges or vertices (corners)
  • It has one surface (not a face as it isn’t flat)
  • It is not a polyhedron

Volume and Surface Area

Volume and Area of a Sphere

Surface Area = 4 × π × r2

Volume = (4/3) × π × r3

Example

r = 21 cm

Surface AreaVolume
Surface Area = 4 × π × r2
Surface Area = 4 × 22/7 × (21 cm)2
Surface Area = 5544 cm2
Volume = (4/3) × π × r3
Volume = 4/3 × 22/7 × (21 cm)3
Volume = 38808 cm3

Learn More

Adjacent Angles

Alternate Exterior Angles

Lines of Symmetry of Plane Shapes

Irregular Polygon

Geometry Index

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