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 February 16, 2025
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 February 16, 2025
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