Cylinder and its circumference

The height of a cylinder is four times its circumference, c. What is the volume of the cylinder in terms of its circumference c?

Correct answer:

V = c^3 / pi

Step-by-step explanation:

h = 4c c = 2 π r  S1 = π r 2  = π (c/(2 π))2 S1 = c2 / (4 π)  V = S1 h = (c2 / (4 π))   (4c) =  4 π c2   4 c   V =  π c3   V=c3/π=c3/pi



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