Question

You need to transfer 2800 gallons from​ tank-1 to​ tank-2. ​ Tank-1 is strapped with 1 inch​ = 30 gallons and its current level is 17 ft 7 in. ​ Tank-2 is strapped with 1 in​ = 30 gallons with a current level of 11 ft 8 in. Once the transfer is​ complete, what is the new level in​ Tank-2 in feet and​ inches? Give your inches to the nearest tenth of an inch.

Answer 1

After transferring 2800 gallons from Tank-1 to Tank-2, with both tanks calibrated at 1 inch = 30 gallons, the new level in Tank-2 is 19 feet 5.3 inches.

Step-by-step explanation:

To determine the new level in Tank-2 after transferring 2800 gallons from Tank-1, we first need to convert the transfer volume into the equivalent height in Tank-2, which is calibrated at 1 inch = 30 gallons. To do this, we divide 2800 gallons by the calibration factor of 30 gallons per inch.

2800 gallons ÷ 30 gallons/inch = 93.33 inches

Now, converting the inches to feet and inches, we have:

93 inches ÷ 12 inches/foot = 7 feet 9.33 inches

Next, we add this height to the current level of Tank-2 to get the new level:

Current level of Tank-2: 11 ft 8 in + Transfer increase: 7 ft 9.33 in
New level of Tank-2: 19 ft 5.33 in

To give the inches to the nearest tenth, we calculate:

5.33 inches (rounded) = 5.3 inches

So, the new level in Tank-2 after the transfer is complete is 19 feet 5.3 inches.