Connected rates of change

Connected rates of change

6 marks
TGM Original
A conical pile keeps height h=2r while growing. Given V= 13pi r2h and dVdt=18pi cm3/s, find the height growth rate when r=3 cm.

Solution:

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Answer:\(\dfrac{\mathrm{d}h}{\mathrm{d}t}=2\ \mathrm{cm/s}\).

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