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Multivariable CalculusEasyPartial Derivatives & the Gradient

Partial Derivatives & the Gradient · Easy problem

The volume of a cylinder is V=πr2hV = \pi r^2 h. A cylinder has radius r=3r = 3 cm and height h=5h = 5 cm. Use differentials to estimate the change in volume, in cubic centimetres, when the radius increases by 0.10.1 cm and the height increases by 0.20.2 cm. Give your answer in terms of π\pi.