the radius of a conical tent is 7m and its height is 10m calculate the length of canvas used to make the tent in width of canvas is 2m
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Step-by-step explanation:
Step-by-step explanation:
Radius of conical tent = 7m
height of tent = 10m
width of convas = 2m
length of convas
Slant height of cone:-
l² = r² + h²
⠀⠀⠀⠀⠀l = √r² + h²
⠀⠀⠀⠀⠀➝ l = √7²+ 10²
⠀⠀⠀⠀⠀➝ l = √49 + 100
⠀⠀⠀⠀⠀➝ l = √149
⠀⠀⠀⠀⠀➝ l = 12.2 m
Total surface of cone = πrl
TSA of conical tent = 22/7 ×7 × 12.2
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀➝ 22 × 12.2
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀➝ 268.4 m²
Now,
Length of convas used to make the tent of width 2m
Area of tent = length × width
⠀⠀⠀⠀⠀➝ 268.4 = length × 2
⠀⠀⠀⠀⠀➝ 268.4/2 = length
⠀⠀⠀⠀⠀➝ 134.2m = length
So,
Length of convas used to make the tent of width 2m is 134.2 m
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