What is the capacity per 50-foot section in cubic inches for the 1¾ inch hose?

What is the capacity per 50-foot section in cubic inches for the 1¾ inch hose?

• A. 1,200 cubic inches
• B. 1,443 cubic inches
• C. 1,800 cubic inches
• D. 2,000 cubic inches

Answer: (B)

The amount of fluid a 50‑foot section can hold is the volume of a cylinder with the hose’s inner diameter as the diameter and 50 feet as the length. Use V = πr^2h. For a 1¾ inch hose, the radius is 0.875 inches. A 50‑foot section equals 600 inches in length. So V = π × (0.875)^2 × 600 = π × 0.765625 × 600 ≈ 3.14159 × 459.375 ≈ 1,443 cubic inches. So this 50‑foot section holds about 1,443 cubic inches (roughly 6.2 gallons). The other numbers would come from using a different length or radius, but with the stated 1¾ inch size and 50 feet, the volume is 1,443 cubic inches.

The amount of fluid a 50‑foot section can hold is the volume of a cylinder with the hose’s inner diameter as the diameter and 50 feet as the length. Use V = πr^2h.

For a 1¾ inch hose, the radius is 0.875 inches. A 50‑foot section equals 600 inches in length. So V = π × (0.875)^2 × 600 = π × 0.765625 × 600 ≈ 3.14159 × 459.375 ≈ 1,443 cubic inches.

So this 50‑foot section holds about 1,443 cubic inches (roughly 6.2 gallons). The other numbers would come from using a different length or radius, but with the stated 1¾ inch size and 50 feet, the volume is 1,443 cubic inches.