Answer :

Let the length of the cloth used be ‘L’ cm


Area of cloth used = 5 × L eqn1


Also, Given Diameter = d = 14 m and height = h = 24 m


Radius = r = D/2


r = 14/2


r = 7 m


Let the slant height of the cone be ℓ m


So, (Slant height)2 = (Height)2 + (Radius)2


Put the values in the above relation


2 = h2 + r2


2 = 242 + 72


2 = 576 + 49


2 = 625


ℓ = √(625)


ℓ = 25 cm eqn1


Also, we know Curved Surface Area of cone = πrℓ


Where r = radius of base, ℓ = slant height


C.S.A = π × 7 × 25



C.S.A = 22 × 25


C.S.A = 550 m2eqn2


Now the Curved surface area of conical tent will be equal to the area of the cloth used to make the tent


C.S.A = Area of cloth


550 = 5 × L (from eqn1 and eqn2)



L = 110 m


So, cost of the cloth used = rate of cloth × Length of the cloth


Cost of cloth used = 25 × 110


Cost of cloth = Rs.2750


Cost of the cloth used is Rs. 2750


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