The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. The ratio of its diameter to its height is: (Use $\pi=\frac{22}{7}$)

7 : 3

We have

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

We know that,

Curved surface area = 2πrh = 264 m²

Volume of cylinder  πr²h = 924 m³

2πrh/πr²h = 264/924

= 2/r = 2/7

r = 7

D = 14

Now = 2πrh = 264

2 × \(\frac{22}{7}\) × 7 × h = 264

h = 6

The ratio of its diameter to its height is = 14 : 6 = 7 : 3