Question

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​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$\large\bf\underline \blue{Given:-}$

• Radius of conical tent = 7m
• height of tent = 10m
• width of convas = 2m

$\large\bf\underline \blue{To \: find:-}$

• length of convas

$\huge\bf\underline \red{Solution:-}$

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