Akshay wants to buy a 6 m wide cloth to make a conical tent having a radius of 12 m and height of 35 m. How many metres of cloth does he need to buy?
Take π = 22/7 Note: Round off the decimals to the nearest whole number.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 232.
l = √(r² + h²) = √(12² + 35²) = √(144 + 1225) = √1369 = 37 m
Curved surface area (CSA) of the cone = π × r × l = (22/7) × 12 × 37 = 1392 m²
Width of cloth = 6 m (this is the breadth)
Length needed = CSA ÷ width = 1392 ÷ 6 = 232 m