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zimovet [89]
3 years ago
15

The surface area of a right cone is 400.2 m2. The radius of the cone is 6.0 m. Determine the height of the cone to the nearest m

etre.
Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0
                 S = πr(r + √(h² + r²))
          400.2 = 3.14(6)(6 + √(h² + 6²))
          400.2 = 18.84(6 + √(h² + 36))
          18.84                 18.84
        21¹⁰⁹/₄₇₁ = 6 + √(h² + 36))
        - 6         - 6
        15¹⁰⁹/₄₇₁ = √(h² + 36)
231²²¹⁰⁰⁵/₂₂₁₈₄₁ = h² + 36
- 36                       - 36
195²²¹⁰⁰⁵/₂₂₁₈₄₁ = h²
                14 ≈ h
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