Multiple choice

The curved surface area of a cylinderical pillar is 264 sq. m and its volume is 924 cu cm. The ratio of its diameter to height is-

  1. 3 : 7

  2. 7 : 3

  3. 6 : 7

  4. 7 : 6
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For a cylinder, curved surface area = 2πrh = 264 and volume = πr²h = 924. Dividing volume by CSA: (πr²h)/(2πrh) = 924/264, which simplifies to r/2 = 3.5, giving r = 7. Substituting r in CSA: 2π(7)h = 264, so h = 264/(14π) = 18.857/π. Since π cancels in the ratio, diameter:height = 14:(18.857/π) = 14π:18.857. Simplifying gives 7:3, confirming option B. The mixed units (m and cm) don't affect the ratio.

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