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.
examcare Answered question 6 days ago
Let me solve this step by step.
Curved Surface Area = 2πrh = 264 Volume = πr²h = 924
From (1): h = 264/(2πr) Substituting in (2): πr²(264/(2πr)) = 924 r = 7
Substituting back: h = 264/(2π × 7) = 6
Diameter = 2r = 14
Ratio of diameter to height = 14:6 = 7:3
Therefore, the ratio of diameter to height is 7:3.
examcare Answered question 6 days ago
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