SOLUTION: Find the expense at 60 cents a square foot of polishing the curved surface of a marble column in the shape of the frustum of a right circular cone whose slant height is 12 feet and

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Question 575073: Find the expense at 60 cents a square foot of polishing the curved surface of a marble column in the shape of the frustum of a right circular cone whose slant height is 12 feet and the radii of whose bases are 3 feet 6 inches and 2 feet 4 inches respectively.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The lateral surface area (S) of a frustum of a right circular cone is given by:
S+=+pi%28r%5B1%5D%2Br%5B2%5D%29s where: r%5B1%5D and r%5B2%5D are the radii of the top and bottom respectively and s is the slant height.
S+=+pi%282.4%2B3.6%2912 Use pi+=+3.14} approximation.
S+=+3.14%286%29%2812%29
S+=+226.08sq.ft.
The cost of polishing, at $0.60 per square foot is:
226.08($0.60) = $135.65