Asked by Cosmo

Im trying to understand related rates here and im getting stuck at this word problem.

It says if V is the volume of a sphere with radius r, and the volume of the sphere decreases as the time passes. express dV/dt in terms of dr/dt. Describe the relationship in words.

I don't get what it means by dV/dt in terms of dr/dt, i know what the derivatives and related rates mean, but I have trouble connecting them and saying it in words.

V = (4/3) pi r^3
dV/dt = 4 pi r^2 dr/dt

Put that into words

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