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What is the volume of a cylinder with a base radius of 22 and height of 999? Either provide an exact answer in terms of π or use 3.14 and enter your answer as a decimal.

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Final answer:

The exact volume of the cylinder is 483,516π cubic units. If using π approximation as 3.14, the volume is about 1,517,043.16 cubic units.

Step-by-step explanation:

Calculating the Volume of a Cylinder

To calculate the volume of a cylinder with a base radius of 22 units and a height of 999 units, you can use the formula for the volume of a cylinder: V = πr²h. Plugging in the radius (r = 22) and the height (h = 999) into the formula, we obtain the following calculation:

V = π × (22 units)² × (999 units)

If we want to provide an exact answer in terms of π, the calculation will be:

V = π × 484 units² × 999 units = 483,516π units³

To give an approximate decimal number using 3.14 for π, the volume will be approximately:

V = 3.14 × 484 units² × 999 units

After performing the multiplication:

V ≈ 3.14 × 484 units² × 999 units = 1,517,043.16 units³

This is the complete calculated answer, rounded to two decimal places as 3.14 is provided to two decimal places. It's worth noting that for more precise calculations, more digits of π might be necessary depending on the context and requirement for the level of precision.

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