Use differentials to estimate the amount of metal in a closed cylindrical can that is 30 cm high and 10 cm in diameter if the metal in the top and the bottom is 0.2 cm thick and the metal in the sides is 0.05 cm thick. (Round your answer to two decimal places.)
Added by Joaquin P.
Step 1
First, we need to find the volume of the metal in the top and bottom of the can. The top and bottom are both circles with a radius of 5 cm and a thickness of 0.2 cm. The volume of each of these can be found using the formula for the volume of a cylinder: $V = \pi Show more…
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