SOLUTION: A cylinder 126 cm high has a circumference of 24 cm. A string makes exactly 7 complete turns round the cylinder while its two ends touch the cylinder's top and bottom. How long i

Algebra ->  Points-lines-and-rays -> SOLUTION: A cylinder 126 cm high has a circumference of 24 cm. A string makes exactly 7 complete turns round the cylinder while its two ends touch the cylinder's top and bottom. How long i      Log On


   



Question 375376: A cylinder 126 cm high has a circumference of 24 cm. A string makes
exactly 7 complete turns round the cylinder while its two ends touch the
cylinder's top and bottom. How long is the string in cm?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Each turn of the string is the hypotenuse of a right triangle.
The base is the circumference = 24 and the 2nd side is 126/7 = 18 cm
Length+=+7%2Asqrt%2824%5E2+%2B+18%5E2%29
Length = 210 cm