Question

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

• A. 3:7
• B. 7:3
• C. 6:7
• D. 7:6
• E. 5:6

Answer 1

The correct option is B

7:3

$\frac{\pi r^{2}h}{2\pi rh}=\frac{924}{264}\Rightarrow r=\left(\frac{924}{264}\times 2\right)=7m$

2$\pi$rh = 264

$h=\left(264\times \frac{7}{22}\times \frac{1}{2}\times \frac{1}{7}\right)=6m$

$\therefore$ Required ratio = $\frac{2r}{h}=\frac{14}{6}=7:3$