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
