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.
The surface area of the outside of the tire can be calculated by adding the area of the two circular ends of the cylinder to the lateral surface area of the cylinder.
The area of each circular end of the tire can be found using the formula for the area of a circle: A = πr^2, where A is the area and r is the radius.
Area of one circular end = π(4^2) = 16π square feet.
The lateral surface area of the cylinder can be found using the formula: A = 2πrh, where A is the surface area, r is the radius of the base, and h is the height.
Lateral surface area of the cylinder = 2π(4)(3) = 24π square feet.
Thus, the total surface area of the outside of the tire is:
16π + 24π = 40π square feet.
Using the approximation of π = 3.14, the surface area is approximately:
40π ≈ 40(3.14) ≈ 125.6 square feet.
Rounding to the nearest tenth, the outside surface area of the tire is approximately 125.6 square feet. Answer: \boxed{125.6}.