The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

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Question:
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

[A].

3 : 7

[B].

7 : 3

[C].

6 : 7

[D].

7 : 6

Answer: Option B

Explanation:

r2h = 924         r = 924 x 2 = 7 m.
2rh 264 264
And, 2rh = 264         h = 264 x 7 x 1 x 1 = 6m.
22 2 7
Required ratio = 2r = 14 = 7 : 3.
h 6