3.97: Related rates for a sphere

0606/21/M/J/23 — Question 5 · 4 marks

The volume of a sphere is V=43πr3V = \dfrac{4}{3}\pi r^{3}. The volume is increasing at a constant rate of 24cm3s124\,\mathrm{cm}^{3}\mathrm{s}^{-1}. Find the rate of increase of the radius when the radius is 6cm6\,\mathrm{cm}.
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