Use differentials to estimate maximum error in the calculated surface area of a closed cylindrical can with radius 4cm, and height 12cm.
Added by Luis Miguel S.
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To estimate the maximum error in the calculated surface area of a closed cylindrical can using differentials, we will follow these steps: ** Show more…
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Breanna O.
Use differentials to estimate the amount of material in a closed cylindrical can that is 30 cm high and 12 cm in diameter if the metal in the top and bottom is 0.2 cm thick, and the metal in the sides is 0.1 cm thick. Note, you are approximating the volume of metal which makes up the can (i.e. melt the can into a blob and measure its volume), not the volume it encloses. The differential for the volume is dV = dr + dh (enter your answer in therms of r and h) dr = and dh = (be careful) The approximate volume of material is cm3.
Adi S.
Use differentials to estimate the amount of material in a closed cylindrical can that is 30 cm high and 12 cm in diameter if the metal in the top and bottom is 0.1 cm thick and the metal in the sides is 0.1 cm thick. Note, you are approximating the volume of metal which makes up the can (i.e. melt the can into a blob and measure its volume), not the volume it encloses. The differential for the volume is dV = dr + dh dr = and dh = (be careful) The approximate volume of material is cm3.
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