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The volume formula for a cylinder is V=pir^(2)h. Using the pi symbol in your answer, find the volume of a cylinder with a radius, r, of 4cm and a height of 14cm.

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Final answer:

The volume of the cylinder is 703.36 cm³.

Step-by-step explanation:

The volume formula for a cylinder is given by V = πr²h, where V is the volume, π is the approximation of pi (approximately 3.14), r is the radius of the cylinder's base, and h is the height of the cylinder.

To find the volume of a cylinder with a radius of 4 cm and a height of 14 cm, we can substitute these values into the formula.

V = π(4 cm)²(14 cm)

= 3.14(16 cm²)(14 cm)

= 3.14(224 cm³)

= 703.36 cm³

Therefore, the volume of the cylinder is 703.36 cm³.

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