Jaime must paint a 16" wide, red stripe completely around a water tank at a centered height of 18 feet. The tank's dimensions are 25 feet high and 150 feet in diameter. How long, in linear feet, will the stripe be?

To determine the length of the stripe that Jaime needs to paint around the water tank, it is essential to calculate the circumference of the tank. The tank is in the shape of a cylinder, and the formula for the circumference (C) of a cylinder is given by the formula:

C = π * d

where "d" is the diameter of the cylinder. In this case, the diameter of the water tank is provided as 150 feet.

To find the circumference:

C = π * 150 feet

Using the approximate value of π (3.14) for calculations:

C = 3.14 * 150 feet ≈ 471 feet

Thus, the length of the red stripe that Jaime must paint completely around the tank at the specified height of 18 feet is approximately 471 linear feet. This makes the option stating 471 feet the correct answer, as it accurately represents the circumference found using the standard geometric formula for a cylinder.

The correct answer aligns with the calculation of the tank's circumference, solidifying the understanding of how to measure the perimeter of cylindrical objects accurately.