How many metres of 2-m-wide cloth will be required to make a conical tent with the diameter of the base as 14 m and slant height as 9 m ignore wastage?
Answer & explanation
Correct answer: option 3
We know that,
Curved surface area of cone = πrl
We have,
The diameter of the base = 14 m
Slant height = 9 m
The width of the cloth = 2m
Let the length of the cloth = x meter.
Area of cloth = x × 2 = 2x m2
Radius of tent = \(\frac{14}{7}\) = 7 m
Curved surface area of cloth = \(\frac{22}{7}\) × 7 × 9 = 198 m2
Now,
2x = 198
= x = 99 m