A cloth of 3\text{ m} width is used to make a conical tent 12\text{ m} in diameter with a slant height of 7\text{ m}. What is the length of the cloth? (Take \pi=\frac{22}{7})

Explanation

Radius of the tent r = 6\text{ m}, slant height l = 7\text{ m}. Surface area of the cone = \pi rl = \frac{22}{7} \times 6 \times 7 = 132\text{ m}^2. Area of the cloth = \text{Length} \times \text{Width} = L \times 3. Setting 3L = 132 gives L = 44\text{ m}.

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