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Question
A circus tent is cylindrical to a height of 3 m and conical above it. If its diameter is 105 m and slant height of the cone is 53 m, find the total area of canvas required.
Sum
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Solution
Given:
Diameter = 105 m ⇒ r = 52.5 m; h = 3 m; l = 53 m.
Total Area = Curved Surface Area of Cylinder + Cone = 2πrh + πrl = πr(2h + l)
2h + l = 2(3) + 53 = 59
Total area = π × 52.5 × 59
= 3097.5 π m2
total ≈ 3097.5 × 3.14159265 ...[Using π ≈ 3.14159265]
= 9730.80 m2
Using π = `22/7` (common in school problems)
total = 3097.5 × `22/7`
= 9735 m2
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