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.
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4
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
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