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 into the top and bottom faces and I don't understand how much paint he needs he wants to know the surface area of the outside of the cylinder what is the surface area of the cylinder measure and square feet
The surface area of a cylinder can be calculated by finding the sum of the areas of the curved surface (lateral surface) and the areas of the top and bottom faces.
The formula for the surface area of a cylinder is:
Surface Area = 2πr(h + r)
Where:
- Surface Area represents the total surface area of the cylinder.
- π (pi) is a mathematical constant approximately equal to 3.14159.
- r represents the radius of the cylinder.
- h represents the height of the cylinder.
Given:
- Radius (r) = 4 ft
- Height (h) = 3 ft
Plugging in these values into the formula:
Surface Area = 2π(4 ft)(3 ft + 4 ft)
= 2π(4 ft)(7 ft)
= 8π(7 ft)
≈ 175.93 ft²
Therefore, the surface area of the outside of the cylinder is approximately 175.93 square feet.