Cylinders, Cones and Spheres: Calculating the surface area of a sphere

The video tutorial explains the concept of a sphere and its surface area. It introduces the formula for the surface area of a sphere, which is 4πR², and discusses its derivation using calculus. The tutorial provides two examples to demonstrate how to calculate the surface area: one with a radius in meters and another with a radius in inches. The importance of understanding units and the concept of square units in area calculations is emphasized.

Discuss the significance of the factor of 4 in the surface area formula of a sphere.

If the radius of a sphere is 11 inches, what is the surface area?