What is the volume of a cylinder that has a diameter of 12 feet and a height of 17 feet, rounded up?

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To determine the volume of a cylinder, we use the formula:

Volume = π × r² × h

where "r" is the radius of the cylinder and "h" is the height.

Given that the diameter of the cylinder is 12 feet, we first calculate the radius:

Radius (r) = Diameter / 2 = 12 feet / 2 = 6 feet.

Now, we can substitute the values into the volume formula. The height (h) is given as 17 feet:

Volume = π × (6 feet)² × 17 feet Volume = π × 36 square feet × 17 feet Volume = π × 612 cubic feet.

Next, we calculate the approximate numerical value using π ≈ 3.14:

Volume ≈ 3.14 × 612 ≈ 1925.68 cubic feet.

When we round this value up, we see that the closest match among the answer choices is 1,922 cubic feet.

Option B represents the correct volume of the cylinder when rounded, affirming its accuracy as the most appropriate choice.