Objectives Learn and apply the formula for the volume of a sphere. Learn and apply the formula for the surface area of a sphere.

A is the locus of points in space that are a fixed distance from a given point called the __________________. – connects the center of the sphere to any point on the sphere. – half of a sphere. – divides a sphere into two hemispheres.

Example 1A: Finding Volumes of Spheres Find the volume of the sphere. Give your answer in terms of .

Example 1B: Finding Volumes of Spheres Find the diameter of a sphere with volume 36,000 cm3.

Example 1C: Finding Volumes of Spheres Find the volume of the hemisphere.

Example 2A: Finding Surface Area of Spheres Find the surface area of a sphere with diameter 76 cm. Give your answers in terms of .

Example 2B: Finding Surface Area of Spheres Find the volume of a sphere with surface area 324 in2. Give your answers in terms of .

Example 2C: Finding Surface Area of Spheres Find the surface area of a sphere with a great circle that has an area of 49 mi2.