Adrian is painting the outside of a cylinder that he plans to use as a coffee table. The cylinder has a radius of 4 feet and a height of 3 feet. Adrian wants to paint all around the outside of the cylinder, including the top and bottom faces. In order to understand how much paint is needed, he wants to know the surface are of the outside of the cylinder. What is the surface area of the cylinder, measured in square feet? Use 3.14 for pi and round your answer to the nearest tenth.
___ ft^2
The surface area of the circular part of the cylinder is equal to the area of two circles, one for the top face and one for the bottom face. The formula for the area of a circle is A = pi*r^2, where A is the area and r is the radius.
For each circle, the area is A = 3.14 * (4ft)^2 = 3.14 * 16ft^2 = 50.24ft^2.
So the total area for the circular part is 2 * 50.24ft^2 = 100.48ft^2.
The surface area of the side of the cylinder is equal to the circumference of the circle times the height. The formula for the circumference of a circle is C = 2*pi*r.
For the side of the cylinder, the circumference is C = 2 * 3.14 * 4ft = 25.12ft.
The surface area of the side is 25.12ft * 3ft = 75.36ft^2.
Adding the areas of the circular part and the side gives a total surface area of 100.48ft^2 + 75.36ft^2 = 175.84ft^2.
Therefore, the surface area of the outside of the cylinder is approximately 175.84ft^2.