How many sq ft does a bundle of shingles cover

Posted By Admin @ September 03, 2022

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

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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