2021 · Q21
A cloth of 3 m width is used to make a conical tent 12 m in diameter with a slant height of 7 m. What is the length of the cloth? (Take π = 22/7)
Elementary MathematicsMensuration
- A21 m
- B28 m
- C44 m
- D66 m
Explanation
The tent's lateral surface area is πrl = (22/7)·6·7 = 132 m² (radius = 12/2 = 6 m). The cloth is 3 m wide, so the required length is 132/3 = 44 m. Hence option C.