Volume and Radius of Spheres

The video tutorial explains how to calculate the volume of a sphere using the formula 4/3 πr³. It provides three examples: calculating the volume of a sphere with a given radius, a beach ball with a radius of 12 inches, and a snowball with a diameter of 6 centimeters. The tutorial emphasizes the importance of converting diameter to radius and using a calculator for precise results. The video concludes with a recap of the formula.

What is the formula for the volume of a sphere?

• Four times pi times the radius cubed

• Four times pi times the radius squared

• Four-thirds times pi times the radius cubed

• Four-thirds times pi times the radius squared

In the first example, what is the radius used for the calculation?

• 12 millimeters

• 9 millimeters

• 6 millimeters

• 3 millimeters

What is the volume of a sphere with a radius of 6 millimeters?

• 904.32 millimeters cubed

• 7234.56 millimeters cubed

• 452.16 millimeters cubed

• 113.4 millimeters cubed

In the second example, what is the radius of the beach ball?

• 6 inches

• 9 inches

• 12 inches

• 15 inches

What is the volume of the beach ball with a radius of 12 inches?

• 904.32 inches cubed

• 113.4 inches cubed

• 452.16 inches cubed

• 7234.56 inches cubed

In the third example, what is the diameter of the snowball?

• 6 centimeters

• 9 centimeters

• 3 centimeters

• 12 centimeters

How do you find the radius from the diameter in the third example?

• Divide the diameter by two

• Subtract two from the diameter

• Multiply the diameter by two

• Add two to the diameter

What is the volume of the snowball with a diameter of 6 centimeters?

• 452.16 centimeters cubed

• 7234.56 centimeters cubed

• 113.4 centimeters cubed

• 904.32 centimeters cubed