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?

• 3πr^2

• 4πr^2

• 2πr^2

• πr^2

How is the volume of a sphere conceptually described?

• The material covering the sphere

• The space inside the sphere

• The distance around the sphere

• The diameter of the sphere

Which formula is used to calculate the volume of a sphere?

• πr^3

• 4/3πr^3

• 2/3πr^3

• 3/4πr^3

In the example calculation, what is the total surface area of a sphere with a radius of 4?

• 64π

• 32π

• 16π

• 128π

What is the volume of a sphere with a radius of 4, as calculated in the example?

• 256π/3

• 128π/3

• 512π/3

• 64π/3