8.3 Video Lesson Notes:
Volumes of Spheres
Lesson Objective: Use a formula to find the volume of a sphere
* A sphere is the set of all points in space that are the same distance from a point called the center. The radius (r) is the distance from the center to any point on the sphere. A sphere does not have a base.
* Volume of a Sphere:
The volume V of a sphere is the product of (4/3)π and the cube of the radius of the sphere
V = (4/3)πr3
Example 1: Find the volume of the sphere. Round your answer to the nearest tenth.
Example 2: Find the radius of the sphere.
Example 3: *A hemisphere is one-half of a sphere. The top of the silo is a hemisphere with a radius of 12 feet. What is the volume of the silo? Round your answer to the nearest thousand.
8.3 Practice Problems
Find the volume V or radius r of the sphere. Round your answer to the nearest tenth, if necessary.
1) 2.)
3) Find the volume of the composite solid. Round your answer to the nearest tenth.