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We are given a problem where the gas tank is shaped like a **cylinder** with a length (height) of 3.5 feet and a diameter of 2.4 feet. The rate of gas being poured into the tank is 1.9 cubic feet per minute, and we need to calculate the time it takes to fill the tank.

### Step-by-Step Solution:

1. **Find the volume of the cylinder**:
   The formula for the volume \( V \) of a cylinder is:
   \[
   V = \pi r^2 h
   \]
   Where:
   - \( r \) is the radius of the base.
   - \( h \) is the height (or length) of the cylinder.
   - \( \pi \) is approximately 3.14.

   - The **radius** \( r \) is half of the diameter:
     \[
     r = \frac{2.4}{2} = 1.2 \, \text{feet}
     \]

   - The **height** \( h \) is given as 3.5 feet.

   Plugging the values into the volume formula:
   \[
   V = 3.14 \times (1.2)^2 \times 3.5
   \]
   \[
   V = 3.14 \times 1.44 \times 3.5
   \]
   \[
   V = 3.14 \times 5.04
   \]
   \[
   V = 15.8256 \, \text{cubic feet}
   \]

2. **Determine the time to fill the tank**:
   Since the gas is poured at a rate of **1.9 cubic feet per minute**, we can find the time \( t \) by dividing the volume of the tank by the flow rate:
   \[
   t = \frac{V}{\text{rate}} = \frac{15.8256}{1.9}
   \]
   \[
   t \approx 8.33 \, \text{minutes}
   \]

3. **Round the time** to the nearest minute:
   \[
   t \approx 8 \, \text{minutes}
   \]

### Final Answer:
It will take **8 minutes** to fill the empty tank.

Would you like more details on any part of this solution?

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Here are 5 related questions to expand on this topic:
1. How would the time change if the diameter of the tank were larger?
2. What would happen if the rate of filling was doubled?
3. How can you convert cubic feet to gallons to measure volume in different units?
4. How would you find the time to fill the tank if the tank were only half full initially?
5. What if the shape of the tank was a rectangular prism instead of a cylinder?

**Tip**: Always double-check your unit conversions, especially when working with volume and rates in real-world problems.

The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 3.5 ft long with a diameter of 2.4 ft. Suppose gas is poured into the tank at a rate of 1.9 cubic feet per minute. How many minutes does it take to fill the empty tank?

Learn how to calculate the time to fill a cylindrical gas tank with a diameter of 2.4 ft and length of 3.5 ft. This problem involves finding the volume of a cylinder and using the gas flow rate of 1.9 cubic feet per minute to determine the filling time. Step-by-step solution provided, suitable for Grades 8-10.

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