Connected rates of change

Connected rates of change

5 marks
TGM Original
A spherical balloon has V= 43pi r3. Its radius grows at 12 cm/s. Find the volume growth rate when r=3 cm.

Solution:

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Answer:\(\dfrac{\mathrm{d}V}{\mathrm{d}t}=18\pi\ \mathrm{cm}^3/\mathrm{s}\).

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