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A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. How much gas can the pressure vessel hold on full

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User Tamaki
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Answer: To calculate the volume of the gas that the cylindrical pressure vessel can hold when it is full, we can use the formula for the volume of a cylinder:

Volume = π * r^2 * h

where:

π is the mathematical constant pi (approximately 3.14159)

r is the radius of the cylinder (which is half of the diameter)

h is the height of the cylinder

Given information:

Height (h) = 9 feet

Diameter = 6 feet

First, we need to find the radius (r) using the formula for the diameter:

Diameter = 2 * r

6 feet = 2 * r

r = 6 feet / 2

r = 3 feet

Now, we have the height (h = 9 feet) and the radius (r = 3 feet). We can plug these values into the volume formula:

Volume = π * (3 feet)^2 * 9 feet

Volume = π * 9 feet^2 * 9 feet

Volume = 81π cubic feet

Now, approximate the value of π to get the final answer:

Volume ≈ 81 * 3.14159 cubic feet

Volume ≈ 254.47 cubic feet

So, the cylindrical pressure vessel can hold approximately 254.47 cubic feet of gas when it is full.

User Otocan
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