Adrian is painting the outside of a cylinder tire he plans to recycle as a planter. The tire has a radius of 4 feet and a height of 3 feet. In order to understand how much paint is needed, Adrian wants to know the surface area of the outside of the tire. How many square feet is the outside of the tire? Use 3.14 for pi and round your answer to the nearest tenth.(1 point)
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The surface area of the outside of the tire can be calculated by finding the area of the curved surface and the area of the two circular bases, and then adding them together.
The area of the curved surface of a cylinder is given by the formula:
Curved surface area = 2 * pi * r * h
where r is the radius and h is the height.
Substituting r = 4 and h = 3 into the formula, we get:
Curved surface area = 2 * 3.14 * 4 * 3 = 75.36 square feet
The area of each circular base is given by the formula:
Base area = pi * r^2
Substituting r = 4 into the formula, we get:
Base area = 3.14 * 4^2 = 50.24 square feet
Adding the curved surface area and the two base areas together, we get:
Total surface area = Curved surface area + 2 * Base area
Total surface area = 75.36 + 2 * 50.24
Total surface area = 75.36 + 100.48
Total surface area = 175.84 square feet
Therefore, the outside of the tire has a surface area of approximately 175.84 square feet.