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.

Components of a Sphere

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.

Components of a Sphere

Surface Area of a Sphere

Surface Area of a Sphere

Volume 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?

Sphere Exercise

Sphere Operations

Sphere Solution


Calculate the area and the volume of a sphere inscribed in a cylinder with a height of 2 m.

Sphere and Cylinder Problem


Sphere Exercise

Sphere Solution


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.

Sphere Problem


Apply the Pythagorean theorem.

Sphere Exercise

Sphere Solution