Answer:
[tex]\boxed{ \text{10.9 ft}}[/tex]
Step-by-step explanation:
The formula for the volume of a cylinder is
V = πr²h
Data:
V = 20 000 gal
h = 34.5 ft
Calculations:
I assume the gasoline tank is lying on its side, so we are asked to find the diameter of the tank.
(a) Convert the volume to cubic feet
V= 20 000 gal × (1 ft³/7.48 gal) = 2674 ft³
(b) Calculate the radius of the tank
V = πr²h
r² = V/(πh) = 2674/(π × 34.5) = 24.67 ft²
r = √24.67 = 4.967 ft
(c) Calculate the diameter of the tank
d = 2r = 9.934 ft
(d) Calculate the length of the measuring pole
l = d + 1 = 9.934 + 1 = [tex]\boxed{ \textbf{10.9 ft}}[/tex]
The length of the pole is 10.93 feet if the gas station has a cylindrical fueling tank that holds the gasoline for its pumps.
In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have volume of the tank V = 20,000 gallons
In ft³
V = 2673.796 ft³
And h = 34.5 feet
2673.796 = (3.14)(r)²(34.5)
After calculating, we get:
The radius r = 4.96 feet
The diameter = 2r = 2(4.96) = 9.93 feet
Pole length = 1 + 9.93 = 10.93 feet
Thus, the length of the pole is 10.93 feet if the gas station has a cylindrical fueling tank that holds the gasoline for its pumps.
Learn more about the cylinder here:
brainly.com/question/3216899
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