Problem

The water storage tank is a shell of revolution and is to be sprayed with two coats of pai...

The water storage tank is a shell of revolution and is to be sprayed with two coats of paint which has a coverage of 500 ft2 per gallon. The engineer (who remembers mechanics) consults a scale drawing of the tank and determines that the curved line ABC has a length of 34 ft and that its centroid is 8.2 ft from the centerline of the tank. How many gallons of paint will be used for the tank including the vertical cylindrical column?

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