Let the radius of the cylinder be \( r \) units and the height be \( h \) units. \(\therefore\) According to the question, \[ \pi r^2 h = 2\pi r h \] \[ \text{or, } r = 2 \] \(\therefore\) The base area of the cylinder \[ = \pi \times 2^2 \text{ square units} \] \[ = 4\pi \text{ square units} \]