The curved surface area of a cylindrical pillar is 264 m³ and its volume is 924 m³.Find the height of the pillar?

Let the radius of the cylinder is r and the height be h.
So the volume of the cylinder = πr²h
and the curved surface area is 2πrh

πr²h = 924m³  (i)
and 2πrh = 264 m² (ii)

dividing (i) by (ii), we get
$$\begin{gathered} \frac{{\mathrm{\pi r}}^2\mathrm{h}}{2\mathrm{\pi rh}}=\frac{924}{264} \\ or \frac{r}{2}=\frac{7}{2} \\ or r = 7m \end{gathered}$$

So putting r = 7m, in (ii), we get
2πrh = 264m²

2 ⨯22/7 ⨯7⨯ h = 264

so h = 6 m

So the height of the pillar is 6m.