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 paintings needed he wants to know the surface are of the outside of the cylinder what is the surface area of the cylinder measure 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 area of the curved surface (the side) and the areas of the two circular faces (top and bottom).
The formula to find the surface area of a cylinder is:
Surface Area = 2πrh + 2πr^2
Where:
π is the constant pi (3.14)
r is the radius of the cylinder (4 ft)
h is the height of the cylinder (3 ft)
Substituting the given values into the formula:
Surface Area = 2 * 3.14 * 4 * 3 + 2 * 3.14 * (4^2)
Surface Area = 75.36 + 100.48
Surface Area = 175.84 ft^2
Therefore, the surface area of the outside of the cylinder is approximately 175.84 square feet.