Difficulty: Medium
Correct Answer: None of these
Explanation:
Introduction / Context:
Canvas required equals the lateral areas (outer surface only) since tents typically exclude the base/floor unless specified. Here a cylinder is topped by a cone. We compute each lateral area and then add 20% wastage for folds and stitching.
Given Data / Assumptions:
Concept / Approach:
Lateral area (cylinder) = 2 * π * r * h. Lateral area (cone) = π * r * l. Sum, then multiply by 1.20 to account for extra canvas.
Step-by-Step Solution:
Verification / Alternative check:
If a floor were included, add πr^2 = (22/7) * 100 = 2200/7 ≈ 314.286, yielding ≈ 1320 m^2 even then. None of the given options match ≈ 943 m^2 or ≈ 1320 m^2.
Why Other Options Are Wrong:
All numeric choices are far larger than either interpretation (with or without base). Hence the correct selection within this set is “None of these.”
Common Pitfalls:
Including the base by default or using circumference * slant height for the cone incorrectly. Maintain unit consistency and apply the 20% only after summing areas.
Final Answer:
None of these
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