Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the metal in the top and bottom is 0.2 cm thick, and the metal in the sides is 0.05 cm thick.Remember we are estimating the amount of material here, not trying to find an exact representation of the amount of material used. How can a differential of the volume of a cylinder help with this?The differential for the volume is

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Asked Dec 19, 2019
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Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the metal in the top and bottom is 0.2 cm thick, and the metal in the sides is 0.05 cm thick.
Remember we are estimating the amount of material here, not trying to find an exact representation of the amount of material used. How can a differential of the volume of a cylinder help with this?
The differential for the volume is
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Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the metal in the top and bottom is 0.2 cm thick, and the metal in the sides is 0.05 cm thick. Remember we are estimating the amount of material here, not trying to find an exact representation of the amount of material used. How can a differential of the volume of a cylinder help with this? The differential for the volume is

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Expert Answer

Step 1

According to the given data the height and the radius (h, r) change from (60,...

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V = Trh. Thus, dh = 0.4 and dr = 0.05.

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Math

Calculus

Derivative

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