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Assuming the volume is 47.1 in3 and the radius is 3.0 in, then:

volume_cone = 1/3 x π x radius2 x height

⇒ height = (3 x volume) ÷ (π x radius2)

= (3 x 47.1 in3) ÷(π x (3.0 in)2)

≈ 5 in

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