LPG is stored in highly insulated spherical vessels in most oil refineries. If the inside diameter of one of these tanks is 11.4 ft, find it's volume. Report your answer to the nearest one-tenth of a gal. Use pie-3014, and 1cubic ft= 705 gal. Possible
answers to choose from are: (A) 5815.1 gal, (B) 48968.9 gal, (C) 12,242.2, (D) 726.9 gal. HELP! I don't understand this.
v = pi/6 d^3 = 775.73ft^3
at 7.48gal/ft^3, that's 5802.5 gal
Using your approximations, I'd say that (A) is the right answer. Plug 'em in to make sure.
To find the volume of a spherical vessel, you'll need to use the formula for the volume of a sphere. The formula is:
V = (4/3) * π * r^3
In this case, you're given the inside diameter of the tank, which is equal to twice the radius. So, the radius (r) is half of the diameter, which is 11.4 ft / 2 = 5.7 ft.
Now you can substitute the value of the radius into the formula:
V = (4/3) * π * (5.7)^3
To calculate this, you'll need the value of π, which is given as pie-3014.
V = (4/3) * 3.1415 * (5.7)^3
Now, you can perform the calculations:
V ≈ (4/3) * 3.1415 * 185.193
V ≈ 777.7 ft^3
Finally, you can convert the volume from cubic feet to gallons by using the conversion factor given, which is 1 cubic ft = 705 gal:
Volume in gallons ≈ 777.7 ft^3 * 705 gal/ft^3
Volume in gallons ≈ 547289.85 gal
Rounding this to the nearest tenth of a gallon, the answer is approximately 547290.0 gallons.
None of the possible answers provided match this. It seems there may be an error in the given answer choices.