## Question

###### Use differentials to estimate the amount of metal in a closed cylindrical can that is 10 $\mathrm{cm}$ high and 4 $\mathrm{cm}$ in diameter if the metal in the top and bottom is 0.1 $\mathrm{cm}$ thick and the metal in the sides is 0.05 $\mathrm{cm}$ thick.

Use differentials to estimate the amount of metal in a closed cylindrical can that is 10 $\mathrm{cm}$ high and 4 $\mathrm{cm}$ in diameter if the metal in the top and bottom is 0.1 $\mathrm{cm}$ thick and the metal in the sides is 0.05 $\mathrm{cm}$ thick.

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