Find the volume of a sphere given the circumference

The video tutorial explains how to find the volume of a sphere given the circumference of its great circle. It starts by introducing the problem and the formula for volume. The tutorial then details the process of finding the radius using the circumference formula. Finally, it demonstrates how to calculate the volume by substituting the radius into the volume formula, emphasizing the importance of units.

What is the first step in finding the volume of a sphere when given the circumference of its great circle?

• Find the radius

• Calculate the diameter

• Determine the surface area

• Use the volume formula directly

Which formula is used to find the radius from the circumference of a sphere's great circle?

• C = 3πr

• C = 4πr^2

• C = 2πr

• C = πd

What is the approximate value of the radius when the circumference is 26 meters?

• 3.5 meters

• 6.3 meters

• 4.1 meters

• 5.2 meters

After finding the radius, which formula is used to calculate the volume of the sphere?

• V = πr^3

• V = 4/3 πr^2

• V = 2πr^3

• V = 4/3 πr^3

What is the final volume of the sphere when the radius is approximately 4.1 meters?

• 250.5 cubic meters

• 310.2 cubic meters

• 280.4 cubic meters

• 296.8 cubic meters