A tunnel is 30 yards long and 15 yards wide. The height of the tunnel walls is 5 yards before the curve of the cylinder-shaped ceiling. What is the volume of the tunnel? Use 3.14 for pi. Round your answer to the nearest hundredth.

Refer to the diagram shown below.

The diameter of the semi-circular arch is 15 yards, and its radius is 7.5 yards.

Calculate the area of the cross-section (a rectangle and a semicircle).

A = (15) (5) + (1/2) * π * (7.5²)

= 75 + 0.5*3.14*56.25

= 163.3125 yd²

The volume is the area times the length.

The volume is

V = 163.3125*30

= 4899.375 yd³

Answer: 4899.38 yd³ (nearest hundredth)