Find the lateral area in square m of a steam pipe 50 cm in diameter and 2.5 m in length.

To find the lateral area of a cylindrical steam pipe, you can use the formula for the lateral surface area of a cylinder, which is given by:

Lateral Area = 2 * π * r * h

In this formula:

• r is the radius of the cylinder,

• h is the height (or length) of the cylinder,

• π (pi) is a constant approximately equal to 3.14159.

For a steam pipe that has a diameter of 50 cm, the radius would be half of that, resulting in a radius of 25 cm, which is equivalent to 0.25 m when converted to meters. The length of the pipe is given as 2.5 m.

Plugging these values into the formula results in:

Lateral Area = 2 * π * (0.25 m) * (2.5 m)

Calculating this step-by-step:

1. Calculate r * h:

0.25 m * 2.5 m = 0.625 m²

2. Multiply by 2 and π:

2 * π * 0.625 m² ≈ 2 * 3.14159 * 0.625 m² ≈