Question

How many meters of cloth 5m wide will be required to make a conical tent,the radius of whose base is 7m and whose height is 24m?

Answer 1

tent is in the shape of a cone
cone:
radius(r)=7 m
height(h)=24 m
slant height (l)=√[(7)²+(24)²]
                       =√(49+576)
                       =√(625)
                       =25 m
C.S.A of tent=π×r×l
                    =(22/7)×7×25
                    =550 m²
Area of cloth=L×5 m
⇒550 m²=L×5 m
⇒L=550/5
⇒L=110 m

∴110 m of cloth 5 m wide will be required to make a conical tent 

Answer 2

Answer:

radius(r)=7 m

height(h)=24 m

slant height (l)=√[(7)²+(24)²]

                      =√(49+576)

                      =√(625)

                      =25 m

C.S.A of tent=π×r×l

                   =(22/7)×7×25

                   =550 m²

Area of cloth=L×5 m

⇒550 m²=L×5 m

⇒L=550/5

⇒L=110 m