28.8k views
4 votes
The water tank on a fire truck is 24 feet long, and its cross-sections are ellipses. Find the volume (in A^3) of water in the partially filled tank with h = 3 as shown in the figure. (Round the answer to two decimal places).

1 Answer

4 votes

Final answer:

The student must provide the dimensions of the elliptical cross-section of the tank to calculate the volume of water it can hold using the formula V = Ah.

Step-by-step explanation:

The student is asking for the volume of water in a partially filled elliptical water tank on a fire truck. To calculate this, we can use the formula for the volume of a cylinder with elliptical cross-section: V = Ah, where A is the area of the ellipse and h is the height of the water level.

The cross-section being elliptical suggests using the formula for the area of an ellipse, A = πab, where a and b are the semi-major and semi-minor axes, respectively.

However, if we don't know the lengths of the axes, we're unable to provide a numeric answer. The question may be missing some details, such as the lengths of the axes of the ellipse, as they are necessary to determine the tank's volume. Once provided, the area A can be determined and then multiplied by the length of the tank to find the volume.

User Mats Stijlaart
by
8.7k points