Use differentials to estimate the amount of metal in a closed cylindrical can that is 10 cm high and 4cm in diameter if the metal in the top and bottom is 0.1 cm thick and the metal in the sides is 0.05 cm thick.
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The surface area of the top and bottom of the can is given by: \[ A_{tb} = 2 \times \pi \left( \frac{d}{2} \right)^2 \] where \( d = 4 \) cm is the diameter of the can. Show more…
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