The height of a cylinder is 14 cm and its curved surface area is 264 cm2.

(b) $396 \mathrm{~cm}^{3}$

Curved surface area $=264 \mathrm{~cm}^{2}$.

Let r cm be the radius of the cylinder.
Then we have:

$2 \pi r h=264$

$\Rightarrow 2 \times \frac{22}{7} \times r \times 14=264$

$\Rightarrow r=\frac{264 \times 7}{44 \times 14}=3 \mathrm{~cm}$

$\therefore$ Volume of the cylinder $=\frac{22}{7} \times 3^{2} \times 14$

$=22 \times 9 \times 2$

$=396 \mathrm{~cm}^{3}$