Subjects geometry

Tent Csa

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Tent Csa


1. The problem involves calculating the curved surface area (CSA) of a tent, where $\pi$ is approximated as $\frac{22}{7}$.\n\n2. Normally, the formula for the curved surface area of a cone (which a tent often resembles) is $$\text{CSA} = 2 \pi r l$$ where $r$ is the radius and $l$ is the slant height.\n\n3. According to the instruction, when solving for the CSA, we take $2 \pi$ out of the equation, meaning we focus on calculating $r l$ first, then multiply by $2 \pi$ later.\n\n4. So, first calculate $r l$ (the product of radius and slant height).\n\n5. Then multiply the result by $2 \times \frac{22}{7}$ to get the CSA.\n\n6. This approach simplifies intermediate steps by isolating the $2 \pi$ factor, making calculations easier especially when $\pi$ is approximated as $\frac{22}{7}$.\n\n7. Final formula used: $$\text{CSA} = 2 \times \frac{22}{7} \times r \times l$$\n\n8. Substitute the known values of $r$ and $l$ to find the curved surface area of the tent.