Understanding the Volume of a Sphere

The video tutorial explains how to calculate the volume of a spherical water balloon using the formula for the volume of a sphere, which is 4/3 pi r cubed. The problem involves determining the maximum volume of water that can be filled in a balloon that can stretch to a radius of 3 inches. By substituting the radius into the formula, the calculation shows that the volume is 36 pi cubic inches.

What is the maximum radius to which Frank's balloon can stretch?

• 3 inches

• 2 inches

• 4 inches

• 5 inches

What is the formula for the volume of a sphere in terms of its radius?

• pi r cubed

• 2/3 pi r cubed

• 4/3 pi r cubed

• 4/3 pi r squared

If the radius of a sphere is given in inches, what will the volume be measured in?

• Liters

• Cubic inches

• Square inches

• Inches

What value should be substituted for 'r' in the volume formula when the radius is 3 inches?

• 3

• 2

• 1

• 4

What is the result of 3 cubed?

• 9

• 18

• 27

• 36

What is the result of dividing 27 by 3?

• 6

• 9

• 7

• 8

What is the final volume of water that Frank can fill in the balloon?

• 40 pi cubic inches

• 36 pi cubic inches

• 30 pi cubic inches

• 24 pi cubic inches

What is the product of 9 and 4 in the context of this problem?

• 32

• 36

• 38

• 34

In what units is the final volume of the balloon expressed?

• Gallons

• Inches

• Cubic inches

• Square inches