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17 December, 12:18

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 metre.

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  1. 17 December, 16:04
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    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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