A spherical chocolate ball has a layer of ice-cream of uniform thickness around it. When the thickness of the ice-cream layer is \( 1 \, \text{cm} \), the ice-cream melts at the rate of \( 81 \, \text{cm}^{3}/\text{min} \) and the thickness of the ice-cream layer decreases at the rate of \( \frac{1}{4\pi} \, \text{cm} \ / \text{min} \). The surface area (in \( \text{cm}^{2} \)) of the chocolate ball (without the ice-cream layer) is:
