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The formula for the area of the lateral surface of a cylinder is pi X diameter X length, when the length and diameter are in the same units. In this instance, the diameter is stated in inches but can be converted to 1.0 foot and then agrees with the units of the length given. The formula yields an answer of 4.7 X 102 square feet to the justified number of significant digits (limited by the number of significant digits in the given value "12"). If the given integers are considered exact, the answer is about 4.71238898 X 102 square feet.

If the two ends of the cylinder are to be considered as part of its area, note that each end is a cylinder with a diameter of 1.0 foot, therefore a radius of 0.50 feet and therefore has an area of pi/4 square feet or about 0.79 square feet. Twice this value should be added to the lateral area to obtain the complete surface area of the cylinder.

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Q: What is the sq ft of a 12 inch diameter cylinder that is 150 ft long?
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