A spherical soap bubble expands so that its radius increases at

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

A spherical soap bubble expands so that its radius increases at 0.2 cm s−10.2\,\text{cm s}^{-1}. Calculate the instantaneous rate at which its volume is increasing when the radius is 5 cm5\,\text{cm}.

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