Adrian is painting the outside of a cylinder that he plans to use as a coffee table the cylinder has a radius of 4 ft and a height of 3 ft 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 area 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
To find the surface area of the outside of the cylinder, we need to calculate the areas of the curved surface and the two circular faces.
The curved surface area can be found using the formula: 2πrh, where r is the radius (4 ft) and h is the height (3 ft).
Curved surface area = 2 * 3.14 * 4 * 3 = 75.36 square feet.
The area of each circular face is πr², where r is the radius (4 ft).
Area of each circular face = 3.14 * 4² = 50.24 square feet.
Since there are two circular faces, the total area of both faces is 2 * 50.24 = 100.48 square feet.
The total surface area of the outside of the cylinder is the sum of the curved surface area and the area of both circular faces, which equals:
Surface area = curved surface area + area of both faces
Surface area = 75.36 + 100.48 = 175.84 square feet.
Rounded to the nearest tenth, the surface area of the outside of the cylinder is approximately 175.8 square feet.