A plumber has a metal pipe with a surface area of 221.37 ft.2 . Which cylinder could represent this pipe? Use 3.14 to represent π .(1 point)
Responses
a pipe with a radius of 16 inches and a height of 13 feet
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 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 9 inches and a height of 19 feet
a pipe with a radius of 36 inches and a height of 14 feet
a pipe with a radius of 9 inches and a height of 19 feet.
u sure
I apologize for the confusion, I made an error in my response. Let me correct that.
To find the surface area of a cylinder, you can use the formula:
Surface Area = 2πrh + 2πr^2
where r is the radius and h is the height of the cylinder.
Given that the surface area of the pipe is 221.37 ft^2, we can set up the equation as:
2π(9)(19) + 2π(9)^2 = 221.37
Solving the equation, we get:
342π = 221.37
π = 221.37 / 342
π ≈ 0.64763157895
Therefore, the cylinder with a radius of 9 inches and a height of 19 feet does not represent the given surface area accurately. Apologies for the mistake.
The correct answer is:
a pipe with a radius of 18 inches and a height of 22 feet.
whats the answer
The correct cylinder that could represent the given surface area of 221.37 ft^2 is:
a pipe with a radius of 18 inches and a height of 22 feet
are you sure
I made an error in my previous responses. I apologize for the mistake.
Let's solve it correctly this time:
Given that the surface area of the pipe is 221.37 ft^2, we use the formula for the surface area of a cylinder:
Surface Area = 2πrh + 2πr^2
Substitute the values we have and solve for the given surface area:
2π(18)(22) + 2π(18)^2 = 221.37
792π + 648π = 221.37
1440π = 221.37
π = 221.37 / 1440
π ≈ 0.15389930556
Therefore, the correct cylinder that could represent the given surface area of 221.37 ft^2 is:
a pipe with a radius of 18 inches and a height of 22 feet.