From dry to full, how much weight does a 50-foot 1¾ inch hose gain?

From dry to full, how much weight does a 50-foot 1¾ inch hose gain?

• A. 52 pounds
• B. 40 pounds
• C. 60 pounds
• D. 70 pounds

Answer: (A)

The weight gain comes from the water inside the hose when it’s full. To find it, calculate how much water the 50-foot length holds and then convert that to pounds. First, find the cross-sectional area of the hose. With a diameter of 1.75 inches, the radius is 0.875 inches. Area ≈ π × (0.875)^2 ≈ 2.41 in². Multiply by the hose length in inches (50 ft = 600 inches): volume ≈ 2.41 × 600 ≈ 1,446 cubic inches of water. Convert to gallons (1 gal = 231 in³): ≈ 1,446 / 231 ≈ 6.25 gallons. Water weighs about 8.34 pounds per gallon, so weight of the water ≈ 6.25 × 8.34 ≈ 52 pounds. So, from dry to full, the hose gains about 52 pounds.

The weight gain comes from the water inside the hose when it’s full. To find it, calculate how much water the 50-foot length holds and then convert that to pounds.

First, find the cross-sectional area of the hose. With a diameter of 1.75 inches, the radius is 0.875 inches. Area ≈ π × (0.875)^2 ≈ 2.41 in².

Multiply by the hose length in inches (50 ft = 600 inches): volume ≈ 2.41 × 600 ≈ 1,446 cubic inches of water.

Convert to gallons (1 gal = 231 in³): ≈ 1,446 / 231 ≈ 6.25 gallons.

Water weighs about 8.34 pounds per gallon, so weight of the water ≈ 6.25 × 8.34 ≈ 52 pounds.

So, from dry to full, the hose gains about 52 pounds.