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What is the total length of the creeper?

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A creeper plant is climbing up and around a cylindrical tree trunk in a helical manner. The tree trunk has a height of 720 inches and a circumference of 48 inches.

If the creeper covers a vertical distance of 90 inches in one complete twist around the tree trunk .

What is the total length of the creeper?

posted Jul 4, 2014 by Nikhil Pandey

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1 Solution

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no. of complete revolutions = 720/90 = 8

length of creeper = 8*length of one revolution = 8* ((2*pi*r)^2 + h^2)^1/2 = 8*(48^2+90^2)^1/2 = 102*8 = 816 inches

solution Dec 19, 2014 by Shashi Kant

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