本题目来源于试卷: Differential Calculus，类别为 IB数学
[问答题]
Air is being pumped into a spherical balloon y agmr57:vak (vn/ b9rso that its-g;sg7g/ zkcdv odc/m280x m n volume is increasing at a constaz0/ dd;ncmk/7msg8-g xvc go2nt rate of $15 \mathrm{~cm}^{3} \mathrm{~min}^{-1}$ . 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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