Question

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.

Answer 1

Answer: Answer: 4899.38 yd³ (nearest hundredth)

Explanation:

Answer 2

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)