Sphere
Spherical Surface
A spherical surface is the surface generated by rotating a circle about its diameter.
Sphere
A sphere is the region of the space that is inside a spherical surface.

Center
The center is the interior point that is equidistant to all points on the surface of the sphere.
Radius
The distance from the center to any point on the surface of the sphere.
Diameter
The diameter is the distance from one point through the center to another point.

Surface Area of a Sphere
![]()
Volume of a Sphere
![]()
Examples
A cube with an edge of 20 cm is filled with water. Would this amount of water fit in a sphere with a 20 cm radius?
![]()
![]()
![]()
Calculate the area and the volume of a sphere inscribed in a cylinder with a height of 2 m.

![]()
![]()
Calculate the area of the circle resulting from cutting a sphere of 35 cm radius by a plane whose distance from the center of the sphere is 21 cm.
