What is the volume of a cylinder with a radius of 5 feet and a height of 8 feet?

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To determine the volume of a cylinder, the formula used is V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder.

In this case, you have a radius of 5 feet and a height of 8 feet. Plugging these values into the formula gives us:

V = π(5 feet)²(8 feet)

Calculating the radius squared: (5 feet)² = 25 square feet.

Now, multiplying this value by the height of the cylinder:

25 square feet × 8 feet = 200 cubic feet.

Finally, to account for π, which is approximately 3.14 (in many practical cases), we multiply:

V ≈ 3.14 × 200 cubic feet = 628 cubic feet.

This shows the complete calculation of the volume, confirming that the volume of the cylinder with the given dimensions is 628 cubic feet. Thus, identifying this value as the correct answer.