Volume and Radius of Spheres

This video tutorial covers the calculation of the volume of a sphere using the formula V = 4/3 πr³. It includes examples with different radii and diameters, demonstrating how to solve for volume both in terms of π and using an approximation for π. The tutorial emphasizes understanding the concept of cubing a number and provides practice problems for students to solve independently.

What is the formula for the volume of a sphere?

• 4/3 πr²

• 4/3 πr³

• πr³

• 2/3 πr³

If the radius of a sphere is 4, what is the volume in terms of π?

• 32/3 π

• 64/3 π

• 8/3 π

• 16/3 π

What does it mean to cube a number?

• Multiply the number by itself three times

• Multiply the number by itself twice

• Add the number to itself three times

• Multiply the number by 2

A spherical balloon has a diameter of 4. What is its radius?

• 1

• 2

• 3

• 4

Using π as 3.14, what is the approximate volume of a sphere with a radius of 2?

• 50.2 cubic feet

• 25.1 cubic feet

• 16.7 cubic feet

• 33.4 cubic feet

If a sphere has a diameter of 10, what is its radius?

• 6

• 4

• 5

• 3

What is 5 cubed?

• 125

• 100

• 150

• 25

How can you express 500/3 π as a decimal?

• 150.5 repeating π

• 175.7 repeating π

• 166.6 repeating π

• 200.2 repeating π

What is the volume of a sphere with a radius of 5 in terms of π?

• 300/3 π

• 600/3 π

• 400/3 π

• 500/3 π

What should you do if you want to practice more problems on the volume of a sphere?

• Watch more videos

• Read a textbook

• Solve additional exercises

• Ask a friend