A cylindrical tank is lying horizontally on the ground, its diameter is 16 feet, its length is 25 feet, the depth of the water in the tank is 5 feet. How many gallons of water are in the tank? How many more gallons of water will it take to fill in the tank?

A cylindrical gasoline tank is 50 ft high and has diameter 70 ft. How many gallons of gasoline will the tank hold if there are 7.5 gallons in 1 ft3?

To calculate the number of gallons of water in the tank, we need to find the volume of the cylindrical tank first. Here's how you can do it:

1. Find the radius of the cylindrical tank:
The diameter is given as 16 feet, so the radius (r) is half of that, which is 16/2 = 8 feet.

2. Calculate the volume of the cylindrical tank:
The formula to calculate the volume (V) of a cylinder is:
V = π * r^2 * h,
where π (pi) is a constant approximately equal to 3.14, r is the radius, and h is the height (or length in this case) of the cylinder.

Plugging in the values we have:
V = 3.14 * (8^2) * 25,
V = 3.14 * 64 * 25,
V = 50,240 cubic feet.

3. Convert cubic feet to gallons:
Since 1 cubic foot is equivalent to approximately 7.48052 gallons, we can multiply the volume in cubic feet by this conversion factor:
Gallons = V * 7.48052,
Gallons = 50,240 * 7.48052,
Gallons ≈ 375,662 gallons.

Therefore, there are approximately 375,662 gallons of water in the tank.

To find out how many more gallons of water it will take to fill the tank completely, we need to determine the remaining empty volume:

4. Calculate the remaining empty volume in the tank:
The remaining empty volume is the volume of the cylinder above the current water level, which is equal to the height of the cylinder minus the depth of the water.

Remaining empty volume = (25 - 5) * π * (8^2),
Remaining empty volume = 20 * 3.14 * 64,
Remaining empty volume ≈ 8,038 cubic feet.

5. Convert the empty volume to gallons:
Empty Gallons = Remaining empty volume * 7.48052,
Empty Gallons ≈ 8,038 * 7.48052,
Empty Gallons ≈ 60,080 gallons.

Therefore, it will take approximately 60,080 more gallons of water to fill the tank completely.