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The area of the cylindrical part of the surface is equal to the perimeter of the base multiplied by the height. The perimeter of a circle with diameter 12 is pi times the diameter; therefore, the area of the cylindrical part of the surface is 12 X 15 X pi = 5.6 X 102. (Only two significant digits are justified, since there are only two in the primary data.)

Sometimes the surface area is considered to include the upper lower bases of the cylinder along with the cylindrical area. The area of a circle is pi multiplied by the square of the radius, which is half the diameter. (12/2)2 X pi = 1.1 X 102. If both bases are added to the cylindrical area, the total area is 7.8 X 102, to the justified number of significant digits.

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Q: What is the surface area of a cylinder with a diameter of 12 and a height of 15?
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