Adrian is painting the outside of a cylinder that he puts to use as a coffee table the cylinder has a radius of 4 ft and high 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 are of the outside of the cylinder what is the surface area of the cylinder measured in square feet use 3.14 for playing laundry entered to the nearest tenth
The surface area of the outside of the cylinder can be calculated by finding the area of the curved surface (lateral area) and adding it to the areas of the top and bottom faces.
The formula for the lateral area of a cylinder is given by 2πrh, where r is the radius and h is the height.
Lateral Area = 2 * 3.14 * 4 ft * 3 ft = 75.36 ft² (rounded to the nearest tenth)
The formula for the area of a circle is given by πr², where r is the radius.
Area of Top and Bottom Faces = 2 * 3.14 * (4 ft)² = 100.48 ft² (rounded to the nearest tenth)
Total Surface Area = Lateral Area + Area of Top and Bottom Faces
Total Surface Area = 75.36 ft² + 100.48 ft² = 175.84 ft² (rounded to the nearest tenth)
Therefore, the surface area of the outside of the cylinder is approximately 175.8 ft².