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We are given area of the spherical lampshade = 57.76 \pi square inches.
We know formula of area of a spherical shape:
Plugging area A= 57.76 π in formula, we get
Dividing both sides by 4π, we get
Taking square root on both sides, we get
r =3.8.
<h3>Therefore, the radius of the lampshade is 3.8 inches.</h3>