1.40: Rate of change of volume of a sphere

0606/12/M/J/20 — Question 2 · 4 marks

The volume, VV, of a sphere of radius rr is given by V=43πr3V = \dfrac{4}{3}\pi r^{3}. The radius, rr cm, of a sphere is increasing at the rate of 0.50.5 cm s1^{-1}. Find, in terms of π\pi, the rate of change of the volume of the sphere when r=0.25r = 0.25.
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