The curved surface area of a cylindrical pillar is 264 m^{3} and its volume is 924 m^{3}.Find the height of the pillar?

So the volume of the cylinder = πr

^{2}h

and the curved surface area is 2πrh

πr

^{2}h = 924m

^{3}(i)

and 2πrh = 264 m

^{2}(ii)

dividing (i) by (ii), we get

$\frac{{\mathrm{\pi r}}^{2}\mathrm{h}}{2\mathrm{\pi rh}}=\frac{924}{264}\phantom{\rule{0ex}{0ex}}or\frac{r}{2}=\frac{7}{2}\phantom{\rule{0ex}{0ex}}orr=7m$

So putting r = 7m, in (ii), we get

2πrh = 264m

^{2}

2 ⨯22/7 ⨯7⨯ h = 264

so h = 6 m

So the height of the pillar is 6m.

**
**