Multiple choice

What is the capacity of cylindrical cistern? I. The radius of base is half of its height. $II. The area of base is (616 m^2).$ III. The height of cylinder is 28m.

  1. Only I & II

  2. Only II and III

  3. Only I & III

  4. Any two out of three

  5. I, II & III

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of cylinder = πr²h. Statement II gives r² = 616/π, so r² is known. Statement III gives h = 28m. With II and III, we can calculate volume. Statement I says r = h/2, which with III gives r = 14m, then with h = 28, we can calculate volume. With I and II, from II we have r² = 616/π, and from I we have h = 2r, so we can calculate volume. Thus any two statements are sufficient.