Understanding the Volume of a Sphere

The video tutorial explains how to calculate the volume of a sphere with a given radius. It starts by introducing the formula for the volume of a sphere, which is four-thirds pi times the radius cubed. The tutorial then walks through the calculation process using a radius of 10 inches, resulting in a volume of four thousand over three times pi cubic inches. Finally, it converts this result into a decimal form for a rounded answer.

What is the radius of the sphere mentioned in the problem?

• 5 inches

• 10 inches

• 15 inches

• 20 inches

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

• 4/3 πr³

• 4/3 πr²

• 2πr

• πr²h

If the radius of a sphere is 10 inches, what is the value of 10 raised to the third power?

• 10000

• 1000

• 100

• 100000

What is the volume of the sphere in terms of π?

• 3000π cubic inches

• 5000π cubic inches

• 4000/3π cubic inches

• 4000π cubic inches

What is the rounded decimal value of the sphere's volume?

• 4188.79 cubic inches

• 1000 cubic inches

• 523.60 cubic inches

• 3141.59 cubic inches