A reasonable estimate of the moment of inertia of an ice skater spinning with her arms at her sides can be made by modeling most of her body as a...

A reasonable estimate of the moment of inertia of an ice skater spinning with her arms at her sides can be made by modeling most of her body as a uniform cylinder. Suppose the skater has a mass of 64 {rm kg}. One eighth of that mass is in her arms, which are 60 {rm cm} long and 20 {rm cm} from the vertical axis about which she rotates. The rest of her mass is approximately in the form of a 20 {rm cm}-radius cylinder.Estimate the skater's moment of inertia to two significant figures.