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A sphere and a cone have the same volume. The radius of the base of the cone is equal to its height.

If the surface area of the sphere is 616 square units, what is the approximate height of the cone?

$\text{123.47 units}$

$\text{44.51 units}$

$\text{16.02 units}$

$\text{8.38 units}$

$\text{11.11 units}$