The volume (in cubic meters) of a spherical balloon as a function of its radius (in…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The volume (in cubic meters) of a spherical balloon as a function of its radius rr (in meters) is V(r)=0.06r3V(r)=0.06r^{3}. What is the instantaneous rate of change of the volume with respect to the radius when r=2 mr=2\text{ m}? (a) 0.24 m3/m0.24\,\text{m}^3/\text{m} (b) 1.44 m3/m1.44\,\text{m}^3/\text{m} (c) 0.72 m3/m0.72\,\text{m}^3/\text{m} (d) 0.48 m3/m0.48\,\text{m}^3/\text{m}

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