To calculate the length of tarpaulin required to make a conical tent of height 8m and base radius 6m, we can use the formula for the curved surface area of a cone, which is πrl, where r is the radius of the base and l is the slant height of the cone.
Here are the steps to calculate the required length of tarpaulin:
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Calculate the slant height of the cone using the Pythagorean theorem: l = √(r^2 + h^2) = √(6^2 + 8^2) = 10m.
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Calculate the curved surface area of the cone using the formula: πrl = 3.14 x 6m x 10m = 188.4m^2.
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Divide the curved surface area by the width of the tarpaulin to get the length required: 188.4m^2 ÷ 3m = 62.8m.
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Add the extra length of material required for stitching margins and wastage in cutting, which is approximately 20cm or 0.2m: 62.8m + 0.2m = 63m.
Therefore, the required length of tarpaulin 3m wide to make a conical tent of height 8m and base radius 6m is 63m.
