Question

The curved surface area of a cylindrical pillar is 264 sq. m and its volume is 924 cub. m. Find the ratio of its diameter to its height.

• A. 3 : 7
• B. 7 : 3
• C. 6 : 7
• D. 7 : 6

Answer 1

The correct option is B 7 : 3

Curved surface area of the cylinder of radius 'r' and height 'h' is given by $2\pi rh$.
And, its volume is given by $\pi r^{2}h$.

$\frac{CSA}{Volume}=\frac{2\pi rh}{\pi r^{2}h}=\frac{264}{924}$
$⟹\frac{2}{r}=\frac{2}{7}$
$⟹r=7cm$

Given, $CSA=264sq.m$

$⟹2\pi \times 7\times h=264$
$⟹h=\frac{264\times 7}{2\times 22\times 7}$
$⟹h=6cm$
So, $\frac{d}{h}=\frac{2r}{h}=\frac{14}{6}=7:3$