Multiple choice

The slant height of a conical tent is 2.6 meter and the area of curved surface is 2.6 π m.2 . Find the volume of conical tent. किसी शंक्वाकार तम्बू की ऊँचाई 2.6 मी. है और उसके वक्रपृष्ठ का क्षेत्रफल 2.6π मी2 है तो उसका आयतन ज्ञात कीजिए।

  1. 0.8π

  2. 1.8π

  3. 1.6π

  4. 2.4π

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A Correct answer
Explanation

The curved surface area of a cone is πrl, where r is radius and l is slant height. Given πrl = 2.6π and l = 2.6m, we get r = 1m. Using l² = r² + h², the height h = 2.4m. Volume of a cone = (1/3)πr²h = (1/3)π(1)²(2.4) = 0.8π cubic meters. Note: Hindi text uses ऊँचाई (height) incorrectly; the 2.6m given is actually slant height based on the calculation.