Finding the volume and the surface area of a sphere

The video tutorial explains the concepts of total surface area and volume of a sphere. It uses a beach ball analogy to describe the surface area as the material covering the sphere and the volume as the air inside it. The tutorial provides formulas for calculating both properties: surface area as 4πr² and volume as 4/3πr³. The instructor demonstrates these calculations with examples, emphasizing the importance of leaving answers in terms of π for precision.

What is the formula for calculating the total surface area of a sphere?

What does the total surface area represent in the context of a sphere?

Explain how to calculate the volume of a sphere.

Describe the relationship between the radius and the diameter of a sphere.

Why is it important to leave the answer in terms of π when calculating surface area and volume?