Renata is completing a craft project that involves covering only the lateral surface of a cylindrical container with fabric. The cylinder has a height of 12.8 in. and a radius of 15.1 in. To the nearest square unit, how much fabric does she need for this project? Use a calculator.

Question

schrodinger · Answer

The Surface Area of a Cylinder is given by $$2(pi)r ^{2} + 2(pi)rh,$$where h is the height of the Cylinder and r is the radius. That being said, the formula represents two different types of things being added together, being the area of the circles that cap each end of the cylinder and the area of the body of the cylinder, where $$2(pi)r ^{2}$$represents the area of both circles (the two at the beginning comes from the fact that there are two ends to the cylinder), and $$2(pi)rh$$represents the area of the body of the cylinder if it was rolled flat. You could represent it like so in the diagram below:

schrodinger · Answer

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