How many metres of cloth will be required to make a conical tent, the radius of whose base is 21 metres and height is 28 metres? The width of the cloth is 5 metres. (where π = 22/7)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 462.
We know that,
The curved surface area of the cone = πrl
where, r = radius, l = slant height
⇒ l =
⇒ l =
⇒ l =
⇒ l =
⇒ l = 35 m
Now,
⇒ CSA = πrl
⇒ 22/7 × 21 × 35
⇒ 22 × 3 × 35 = 2310 m2
Since the cloth is 5 meters wide, so
Length of cloth required to cover the entire surface area = CSA/width of cloth
⇒ 2310/5 = 462 m
Thus, 462 meters of cloth will be required to make the conical tent