The length of canvas 1.1 m wide required to build a conical tent of height 14m and the floor area 346.5 \(m^{2}\) is

Floor area: pi r^2 = 346.5, so r^2 = 110.25 and r = 10.5. Slant height l = sqrt(14^2 + 10.5^2) = 17.5. Canvas area = pi r l = (22/7)(10.5)(17.5) = 577.5 m^2. Length = 577.5 / 1.1 = 525 m.