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Given that height of a cone(h) = 12 mm.

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Use trigonometry to find the radius of the base.

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$\"\"$ (Definition of tangent)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Use a calculator: $\"\"$ )

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$\"\"$

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$\"\"$ (Simplify) $\"\"$

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Volume(V):

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$\"\"$ (Volume of a cone)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Evaluate powers) $\"\"$

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$\"\"$ (Multiply: $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Multiply: $\"\"$ ) $\"\"$

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The volume of the cone is approximately 598 cubic millimeters.