To determine: Find the lateral area of the conical tent.

Anonym 2021-08-12 Answered
To determine: Find the lateral area of the conical tent.
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i1ziZ
Answered 2021-08-13 Author has 92 answers
Answered 2021-12-24

Step 1

Formula used: The lateral area L of cone with radius r of base is

L=12Pl=122πrl=πrl, where 1 is the slant height and P is the perimeter of the base

Calculation:

diameter=13 ft

radius=r=132=6.5 ft inches

Use Pythagoras Theorem to find the slant height of the cone =1=6.52+8210.31ft

Lateral area of the conical tent =L=πrl=π(6.5)(10.31)210.5ft2

Step 2

Formula used: The surface area of a cone:

S+L+B, where L is the lateral area of the cone and B is the area of the base.

Calculation:

From part(1), Lateral area=L=210.5 ft2andtheradius=r=6.5 ft

the area of the base =B=πr2=π(6.5)2=132.73 ft2

Surface area  of the conical tent =S=L+B=210.5+132.73=343.2 ft2

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