Air is pumped into a spherical balloon so that its radius increases at a constant…

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Air is pumped into a spherical balloon so that its radius increases at a constant rate of 0.05 m/s. At what radius is the surface area of the balloon increasing at 0.4π\pi m2^2/s? (a) 1.414 m1.414\text{ m} (b) 1.0 m1.0\text{ m} (c) 0.80 m0.80\text{ m} (d) 2.0 m2.0\text{ m}

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