A plumber has a metal pipe with a surface area of 221.37 ft.2Which cylinder could represent this pipe? 3.14 to represent pi (1 point) a pipe with a radius of 16 inches and a height of 13 feet a pipe with a radius of 18 inches and a height of 22 feet a pipe with a radius of 9 inches and a height of 19 feet a pipe with a radius of 36 inches and a height of 14 feet
To find the surface area of a cylinder, you use the formula: 2πr² + 2πrh, where r is the radius of the cylinder and h is the height of the cylinder.
Let's calculate the surface area of each cylinder:
1. Cylinder with a radius of 16 inches and a height of 13 feet:
r = 16 inches = 1.33 feet
h = 13 feet
Surface area = 2(3.14)(1.33)² + 2(3.14)(1.33)(13)
Surface area ≈ 83.58 + 109.78
Surface area ≈ 193.36 ft²
2. Cylinder with a radius of 18 inches and a height of 22 feet:
r = 18 inches = 1.5 feet
h = 22 feet
Surface area = 2(3.14)(1.5)² + 2(3.14)(1.5)(22)
Surface area ≈ 56.52 + 207.9
Surface area ≈ 264.42 ft²
3. Cylinder with a radius of 9 inches and a height of 19 feet:
r = 9 inches = 0.75 feet
h = 19 feet
Surface area = 2(3.14)(0.75)² + 2(3.14)(0.75)(19)
Surface area ≈ 3.54 + 42.66
Surface area ≈ 46.2 ft²
4. Cylinder with a radius of 36 inches and a height of 14 feet:
r = 36 inches = 3 feet
h = 14 feet
Surface area = 2(3.14)(3)² + 2(3.14)(3)(14)
Surface area ≈ 56.52 + 263.52
Surface area ≈ 320.04 ft²
Therefore, the cylinder that could represent the pipe with a surface area of 221.37 ft² is the cylinder with a radius of 18 inches and a height of 22 feet.