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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.

3 : 7
7 : 3
6 : 7
7 : 6

Correct Answer: 7 : 3

Explanation:

Πr²h	=	924	⟹ r =	❨	924	x 2	❩	= 7 m.
2Πrh		264			264

And, 2Πrh = 264 ⟹ h =	❨	264 x	7	x	1	x	1	❩	= 6m.
			22		2		7

∴ Required ratio =	2r	=	14	= 7 : 3.
	h		6

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