Answer
$.378\sqrt h$
Work Step by Step
We know the following value for k:
$k = \frac{mg\sqrt h}{200\pi} $
*Note, it is $200\pi$ instead of $2\pi$ because h has to be converted to meters.
Thus, we can find:
$I = \frac{T^2k}{4\pi^2}$
$I = \frac{T^2(\frac{mg\sqrt h}{200\pi} )}{4\pi^2}$
$I = \frac{6.91^2(\frac{(20)(9.81)\sqrt h}{200\pi} )}{4\pi^2}=.378\sqrt h$
