A tepee in the shape of a right cone has a slant height of 18.5 feet and a diameter of 20 feet. Approximately how much canvas would be needed to cover the tepee?

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Oddman Profile
Oddman answered
The lateral surface area of a right circular cone is given by
  area = πrs

Using your numbers, we get
  area = π*(10 ft)*(18.5 ft)
  = 185π ft^2
  ≈ 581 ft^2
It is the lateral area of a cylinder of the same diameter but half as high as the slant height, or one that is half the diameter but as high as the slant height.

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