Multiple choice

What is the Curved surface area of the conical temple ? Statement I : Height of the temple is 35 m. Statement II : Diameter of the base is 20 % more than the height of the temple. Statement III : Area of the base is 5544 sq. m.

  1. Only I and III

  2. Only I

  3. Only III

  4. Any of the two

  5. None of these

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

To find CSA of a cone (πrl), we need radius and slant height. Statement I gives height (35m). Statement II gives diameter is 20% more than height, so diameter = 42m, radius = 21m. From I and II: l = √(35² + 21²) = √(1225 + 441) = √1665 ≈ 40.8m. From I and III: Base area πr² = 5544 gives r = 21m, then same slant height calculation. From II and III: From III, πr² = 5544 gives r = 21m; from II, diameter is 1.2×height, so height = 42/1.2 = 35m. Then l = √(35² + 21²). Any two statements together provide sufficient information.