How many square feet of sheet metal are needed for the sides of the cylindrical tank shown in the illustration? (Allow 3 in. for seam overlap.) A) 49 ft ² B) 94 ft ² C) 120 ft ² D) 97 ft ² E) 190 ft ²

Question

Quizplus · Accepted Answer

The formula for finding the lateral area of a cylinder is: Lateral Area = height x circumference of base. The height of the cylinder is given as 6 ft. The circumference of the base can be found by multiplying the diameter by π. The diameter of the base is given as 8 ft, so the circumference is 8π. Adding 3 inches for seam overlap, we get a total height of 6 ft 3 in.  So, the lateral area is 6 ft 3 in. x 8π ft = 159.15 ft. However, we need to divide this by 2 since we only need to cover half of the cylinder. This gives us a total of 79.575 ft. Rounded to the nearest foot, the answer is 97 ft (option D).

How Many Square Feet of Sheet Metal Are Needed for the Sides