The curved surface area of cylindrical pillar is 264 m2
Question:

The curved surface area of cylindrical pillar is $264 \mathrm{~m}^{2}$ and its volume is $924 \mathrm{~m}^{3}$. Find the diameter and the height of the pillar.

Solution:

Let, r be the radius of the cylindrical pillar

h be the height of the cylindrical pillar

$C S A=264 \mathrm{~m}^{2}$

$2 \pi r h=264 m^{2} \ldots .1$

$\Rightarrow$ volume of the cylinder $=924 \mathrm{~m}^{2}$

$\Pi^{*} r^{2} * h=924$

πrh(r) = 924

πrh = 924/r

Substitute πrh in eq 1

2 * 924/r = 264

r = 1848/264

r = 7 m

Substitute r value in eq 1

2 * 22/7 * 7 * h = 264

h = 264/44

h = 6 m

so, the diameter = 2r = 2(7) = 14 m and height = 6 m