A dancer is spinning at $72$ rpm

about an axis through her center with her arms outstretched, as shown in $($Figure $1).$ From biomedical measurements, the typical distribution of mass in a human body is as follows:

Head: $7\mathrm{.}0\%$

Arms: $13\%($for both$)$

Trunk and legs: $80\mathrm{.}0\%$

Suppose the mass of the dancer is $65\mathrm{.}0$ kg

$,$ the diameter of her head is $16$ cm

$,$ the width of her trunk and legs is $24$ cm

$,$ and her arms are $60$ cm

long each.

Calculate moment of inertia about dancer spin axis.

Express your answer with the appropriate units. I $=?$

Calculate your rotational kinetic energy.

Express your answer with the appropriate units. K $=?$