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 $\pi=\frac{22}{7}$)
Answer & explanation
Correct answer: option 2
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