Cylinder and its circumference

If the height of a cylinder is 4 times its circumference c, what is the volume of the cylinder in terms of its circumference, c?

Result

V = (Correct answer is: c^3 / pi) Wrong answer

Solution:

h=4c c=2 πr  S1=πr2=π(c/(2 π))2 S1=c2/(4 π)  V=S1 h=(c2/(4 π))⋅ (4c)=c2⋅ 4 c4 π  V=c3π  V=c3/π=c3/3.1416h=4c \ \\ c=2 \ \pi r \ \\ \ \\ S_{1}=\pi r ^2=\pi (c/(2 \ \pi))^2 \ \\ S_{1}=c^2 / (4 \ \pi) \ \\ \ \\ V=S_{1} \ h=(c^2 / (4 \ \pi)) \cdot \ (4c)=\dfrac{ c^2 \cdot \ 4 \ c }{ 4 \ \pi } \ \\ \ \\ V=\dfrac{ c^3 }{ \pi } \ \\ \ \\ V=c^3 / \pi=c^3 / 3.1416

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