The outer curved surface area of a pipe with length 18 cm and diameter 10 mm is ______ cm2.
Circumference = π d
Convert to cm.
Area = 10 circumference
or, since the length is 18,
18 * (10/10)π
I need help
To find the outer curved surface area of a pipe, we first need to calculate the circumference of the pipe.
Circumference = π * diameter
Given that the diameter of the pipe is 10 mm, we can substitute this value into the formula:
Circumference = π * 10 mm
Since the circumference is the distance around the pipe, it will give us the length of the curved surface. However, the given length of 18 cm is not the length of the outer curved surface, so we need to convert it to millimeters (mm):
Length in mm = 18 cm * 10 mm/cm
Now that we have both the circumference and the length in mm, we can calculate the outer curved surface area by multiplying these two values:
Outer curved surface area = Circumference * Length in mm
Finally, we can substitute the values we have:
Outer curved surface area = π * 10 mm * 180 mm
To get the numerical value of π, we can use an approximation like 3.14:
Outer curved surface area ≈ 3.14 * 10 mm * 180 mm
And then we can calculate the result:
Outer curved surface area ≈ 3.14 * 10 mm * 180 mm ≈ 5652 mm²
Therefore, the outer curved surface area of the pipe is approximately 5652 mm².