Connected rates of change

Connected rates of change

5 marks
TGM Original
A cylindrical container of fixed height 5 cm expands radially. Its volume is V=5pi r2 and increases at 20pi cm3/s. Find the radius growth rate at r=2 cm.

Solution:

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Answer:\(\dfrac{\mathrm{d}r}{\mathrm{d}t}=1\ \mathrm{cm/s}\).

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