A roof is shaped like a cone with a diameter of 12 feet. One bundle of shingles covers 32 square feet. How many bundles should you buy to co

Question

A roof is shaped like a cone with a diameter of 12 feet. One bundle of shingles covers 32 square feet. How many bundles should you buy to cover the roof

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Peyton 2 weeks 2021-09-28T15:54:02+00:00 1 Answer 0

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    2021-09-28T15:55:11+00:00

    Answer:

    113.04 (6 + g) / 32

    Step-by-step explanation:

    We know that the total area of a cone is:

    A = Pi * r * (r + g), let g be the generatrix.

    The radius is half the diameter, therefore, 12/2 = 6 feet.

    Replacing:

    A = 3.14 * (6) * (6 + g) = 113.04 (6 + g) square feet.

    To know the total number of tiles package, we must divide the area of the cone by the area occupied by a package. So:

    113.04 (6 + g) / 32

    The problem statement does not have a height or the value of the generatrix therefore it is not possible to calculate the number of packages.

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