LPG is stored in highly insulated spherical vessels in most oil refineriesif.If the inside diameter of one of these tanks is 11.4ft, find it's volume. Report your answer to the nearest one-tenth of a gal. Use r=3.14 and 1 cubic ft=7.5gal
The volume in ft^3 is
(pi/6)*D^3
if you use D = 11.4 ft
You do the conversion to gallons.
For the accuracy they desire, they should NOT be telling you to use 7.5 gal/ft^3 as the conversion factor and pi = 3.14.
I have no idea what you are using the symbol r for pi.
To find the volume of a spherical tank, we need to know its radius. The radius is half the diameter, so in this case, the radius would be 11.4ft / 2 = 5.7ft.
The formula to calculate the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius.
Substituting the given values into the formula:
V = (4/3) * 3.14 * (5.7ft)³
V = (4/3) * 3.14 * 185.193ft³
V ≈ 777.42ft³
Now, we need to convert the volume from cubic feet to gallons. Given that 1 cubic foot equals 7.5 gallons:
Volume in gallons = 777.42ft³ * 7.5gal/ft³
Volume in gallons ≈ 5,830.65gal
Therefore, the volume of the spherical tank is approximately 5,830.65 gallons (to the nearest one-tenth of a gallon).