Finding the Volume of a Sphere

The video tutorial explains how to find the volume of a sphere by comparing it to the volume of a cylinder. It begins with a review of calculating the volume of a cylinder, using the formula base times height. The tutorial then introduces the concept of a sphere and explains how its volume is derived by comparing it to a cylinder with the same radius and height. By breaking the sphere into hemispheres and using water to demonstrate, it shows that the volume of a sphere is 2/3 of the volume of a cylinder. The formula for the volume of a sphere is derived as 4/3 times pi r cubed. The tutorial concludes with an example problem involving a snow globe to apply the formula.

What is the formula for the volume of a cylinder?

What is the significance of the volume being measured in cubic units?

Explain what a hemisphere is and how it relates to a sphere.

What is the relationship between the radius and height of a cylinder in this lesson?

How do you find the volume of a sphere using the volume of a cylinder?

How do you derive the formula for the volume of a sphere?

Calculate the volume of a sphere with a radius of 4 centimeters using the formula.