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.(1 point)

3 answers

The surface area of the cylinder consists of the curved lateral surface area and the areas of the top and bottom faces.

The curved lateral surface area can be calculated using the formula: A = 2πrh, where r is the radius and h is the height.
A = 2 * 3.14 * 4 * 3
A = 75.36 square feet

The area of each circle (top and bottom faces) can be calculated using the formula: A = πr^2
A = 3.14 * 4^2
A = 50.24 square feet

To find the total surface area, we add the lateral surface area and the areas of the top and bottom faces:
Total surface area = 75.36 + 50.24 + 50.24 = 175.84 square feet

Therefore, the surface area of the cylinder is 175.84 square feet.
wrong
I apologize for the incorrect response. Let's calculate the surface area of the cylinder correctly.

The curved lateral surface area of the cylinder can be calculated using the formula: A = 2πrh, where r is the radius and h is the height.
A = 2 * 3.14 * 4 * 3
A = 75.36 square feet

The area of each circle (top and bottom faces) can be calculated using the formula: A = πr^2
A = 3.14 * 4^2
A = 50.24 square feet

To find the total surface area, we add the lateral surface area and the areas of the top and bottom faces:
Total surface area = 75.36 + 50.24 + 50.24 = 175.84 square feet

Therefore, the surface area of the cylinder is 175.84 square feet.