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You can think of the tank as being constructed from three pieces,
two circular disks that form the floor and ceiling and a rectangle that is rolled to form the wall. Since the diameter is 10 feet the radius r is 10/2 = 5 feet. The area of a circular disk is π r2 so each disk has an area of π × 52 = 78.54 square feet.
The length of the rectangle is the circumference of the circle which is 2 π r = 31.41 feet. Thus the area of the rectangle is 23 × 31.41 = 722.57 square feet. Thus the total surface area is
ESTIMATING SQUARE FOOTAGE IN VARIOUS SHAPES