Question

The height of a conical tent is 14 m and area of base is 346.5m2

. This tant is made by 1.5 m wide canvas then find

the length of canvas.​

Answer 1

Step-by-step explanation:

Given: The height of the conical tent is 14m and its floor area is 346.5m2.

Canvas of width 1.1m

Surface area of the tent is: πrl

Let be the Surface area of the cone.

Area of the floor is : πr2= 346.5 m2

⇒ πr2= 346.5

⇒ r2 =

=

⇒ r = √(

) =

⇒ l = √(h2 + r2) (here l is the slant height and h , r are height and radius respectively of cone)

⇒ l = √(142 + (

)2) = √(196 +

) = √

=

∴ S = πrl = π ×

=

∴ Area of the canvas required to cover the tent is:

m2

∴ l × b =

m2 (here l is length and b is breadth or width of the canvas)

⇒ l × 1.1 =

( width of the canvas is 1.1m)

⇒ l =

= 525m

∴ Length of the canvas required to cover the tent is 525m

Answer 2

I hope that it helped you