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Height of the cone is 9.99 in

Step-by-step explanation:

  • Step 1: Volume of a cone = 1/3 πr²h. Given volume of the cone = 512.87 in³ and r = 7 in.  Find height, h.

512.87 = 1/3 × 22/7 × 7² × h

512.87 × 3 = 22 × 7 × h

1538.61 = 154h

∴ h = 1538.61/154 = 9.99 in

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