本题目来源于试卷: Differential Calculus，类别为 IB数学
[问答题]
Air is being pumped inqgcajq 97+s8 39r )ph)qjh f5m5hfrzu3n-k ix,se*86ueeafall n3h3j7 i fa4 to a spherical balloon so that its volume is increasing at a constant rate e3hfjl4 k6a* l7x n, eufa8-3n 3asieiof $15 \mathrm{~cm}^{3} \mathrm{~min}^{-1}$ . Find the rate at which the surface area of the balloon is increasing when its radius hits 10 cm .
The surface area S and the volume V of a sphere of radius r are given by $S=4 \pi r^{2}$ and $V=\frac{4}{3} \pi r^{3}$ .
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