how many gallons of fuel is in 1 ft if the cylinder tank is 15 feet in heigh and 38 in diameter

To find the volume of fuel in one foot of height in the cylindrical tank, we first calculate the volume of one foot of the tank, then convert it into gallons.

### Steps:

1. **Convert diameter to feet**:  
   Since the diameter is given in inches, convert it to feet.  
   \[
   \text{Diameter in feet} = \frac{38}{12} = 3.167 \text{ ft}
   \]

2. **Find the radius**:  
   The radius is half the diameter.  
   \[
   \text{Radius} = \frac{3.167}{2} = 1.5835 \text{ ft}
   \]

3. **Find the volume of one foot of height**:  
   The volume of a cylinder is given by:
   \[
   V = \pi \times r^2 \times h
   \]
   For one foot of height (\(h = 1\)):
   \[
   V = \pi \times (1.5835)^2 \times 1 = \pi \times 2.5075 \approx 7.876 \text{ cubic feet}
   \]

4. **Convert cubic feet to gallons**:  
   There are approximately 7.481 gallons in one cubic foot.  
   \[
   \text{Gallons} = 7.876 \times 7.481 \approx 58.91 \text{ gallons}
   \]

So, there are approximately **58.91 gallons** of fuel in 1 foot of height of the cylinder tank.

### Would you like more details or have any questions?

### Related Questions:
1. How much fuel does the entire tank hold if it's 15 feet tall?
2. How would the volume change if the diameter were 40 inches?
3. What is the weight of the fuel in one foot if the density is given?
4. How would the formula change if the tank were conical instead of cylindrical?
5. How much space would be left if the tank were 75% full?

### Tip:
When working with cylindrical volumes, always ensure unit consistency, especially between height and diameter conversions.

how many gallons of fuel is in 1 ft if the cylinder tank is 15 feet in height and 38 in diameter

Learn how to calculate the fuel volume in gallons for one foot of height in a cylindrical tank with a height of 15 feet and a diameter of 38 inches. This solution involves geometry, unit conversion, and volume calculations. Suitable for students in Grades 9-12.

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