# Calculus

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 100 mm? Evaluate your answer numerically.

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1. v=4/3 pi r^3
dv/dt= 4PI r^2 dr/dt

dv/dt= 4*PI*(50)^2 * 2 mm^3/sec

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bobpursley

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