The radius of a sphere is changing at the rate of \( 0.1 \mathrm{~cm} / \mathrm{sec} \). The rat...

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The radius of a sphere is changing at the rate of \( 0.1 \mathrm{~cm} / \mathrm{sec} \). The rate of change of its surface area when the radius is 200 \( \mathrm{cm} \), is
(a) \( 8 \pi \mathrm{cm}^{2} / \mathrm{sec} \)
(b) \( 12 \pi \mathrm{cm}^{2} / \mathrm{sec} \)
(c) \( 160 \pi \mathrm{cm}^{2} / \mathrm{sec} \)
(d) \( 200 \pi \mathrm{cm}^{2} / \mathrm{sec} \)
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