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

Answer: Option B

Here h = 4c,
Volume of cylinder = πr²h
$$=\frac{4\pi \times \pi r^{2}h}{4\pi }$$
(Multiply 4π both in Numerator & Denominator)
$$\begin{array}{rl}& =\frac{{\left(2\pi r\right)}^2\times \left(4c\right)}{4\pi }\\ & =\frac{c^3}{\pi }\end{array}$$