π = 22/7

Height (h) of cylinder = 14 cm

Let the diameter of the cylinder be d.

Curved surface area of cylinder = 88 cm^{2}

⇒ 2πrh = 88 cm^{2} (r is the radius of the base of the cylinder)

⇒ πdh = 88 cm^{2} (d = 2r)

⇒ 22/7 x d x 14cm = 88 cm^{2}

⇒ d = 2cm

Therefore, the diameter of the base of the cylinder is 2 cm.