Question

How many metres of clothes 5m. Wide will be required to make a conical tent,the radius of whose base is 7
m.and whose height is 24m.?(takep=22/7)

Answer 1

Hi Friend !!

Radius = r = 7 m

Height = h = 24 m

Slant height = l

l² = h² + r²
   = 24² + 7²
   = 576 + 49
  = 625
l = √625
  = 25 m


Cloth required to make the tent = C.S.A of  cone = πrl
                        =22/7 × 7 × 25
                        = 550 m²
Given width of cloth =  5 metres

Total cloth required = 550 / 5  = 110 metres

Answer 2

Given, r = 7 m

h = 24 m

∴ slant height l = √(r2 + h2) = √(49 + 576) = √625 = 25 m

CSA of the cone = πrll = 22/7 x 7 x 25 = 550 m2

Area of the cloth used = 550 m2

Given, width of the cloth = 5 m

Length of the cloth used = Area/Width = 550 / 5 = 110 m.