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)
To find the surface area of the cylinder, we need to calculate the area of the two bases (top and bottom) and the lateral surface area.
The area of the two bases can be calculated using the formula for the area of a circle: A = πr^2.
For the top and bottom faces:
A = π(4^2) = π(16) = 50.24 square feet (rounded to the nearest tenth)
The lateral surface area can be calculated using the formula for the circumference of a circle multiplied by the height of the cylinder: A = 2πrh.
For the lateral surface area:
A = 2(3.14)(4)(3) = 75.36 square feet (rounded to the nearest tenth)
The total surface area of the cylinder, including the top and bottom faces, is the sum of the two bases and the lateral surface area:
Total surface area = 2(50.24) + 75.36 = 100.48 + 75.36 = 175.84 square feet (rounded to the nearest tenth)
Therefore, the surface area of the outside of the cylinder is approximately 175.84 square feet.