The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3.

Solution:

(c) 6 m
The curved surface area of a cylindrical pillar

$=2 \pi r h$

Therefore, $2 \pi r h=264$

Volume of a cylinder $=\pi r^{2} h$

 

Therefore, $\pi r^{2} h=924$

Hence,

$\frac{\pi r^{2} h}{2 \pi r h}=\frac{924}{264}$

$\Rightarrow \frac{r}{2}=\frac{924}{264}$

$\Rightarrow r=\left(\frac{924 \times 2}{264}\right)$

 

$\Rightarrow r=7 \mathrm{~m}$

Therefore,

$2 \pi r h=264$

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

$\Rightarrow h=\frac{264}{44}$

 

$\Rightarrow h=6 \mathrm{~m}$

Hence, the height of the pillar is 6 m.