find the length of cloth, 2m in width, required to make a conical tent having diameter 12m and slant height 12.6m
Question
Find the length of cloth, 2m in width, required to make a conical tent having diameter 12m and slant height 12.6m.
Solution
To find the length of cloth required to make a conical tent, we need to calculate the curved surface area of the cone, which is given by the formula π * r * l, where r is the radius and l is the slant height.
Step 1: Calculate the radius of the cone. The diameter is given as 12m, so the radius r = diameter/2 = 12m/2 = 6m.
Step 2: Substitute the radius and the slant height into the formula for the curved surface area. The slant height l is given as 12.6m. So, the curved surface area = π * r * l = π * 6m * 12.6m = 237.6m².
Step 3: The width of the cloth is given as 2m. To find the length of the cloth, divide the curved surface area by the width of the cloth. So, the length of the cloth = curved surface area / width = 237.6m² / 2m = 118.8m.
So, the length of the cloth required to make the conical tent is 118.8m.
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