Multiple choice

In each of the these questions, one question is given followed by data in three statements I, II and III. You have to study the question and the data in statements and decide the question can be answered with data in which of the statements and mark your answer accordingly- Ratio of radii of two circular cylinder is - I. They have equal volume. II. Ratio of their height is 1 : 2 respectively. III. Sum of area of both cylinder is equal to the area of sphere having radius 12 cm.

  1. Only I and II

  2. Only I and III

  3. Any two

  4. Only II and III

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Volume of cylinder = πr²h. If volumes are equal: πr₁²h₁ = πr₂²h₂, giving r₁²h₁ = r₂²h₂. With height ratio 1:2 (h₁/h₂ = 1/2), we get r₁²/r₂² = h₂/h₁ = 2/1, so r₁/r₂ = √2. Statements I and II are sufficient. Statement III introduces unnecessary complexity about sphere area.

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