Question

the circumference of the base of 10 M high conical tent is 44 M calculate length of Canvas used in making the tent if width of Canvas is 2 metre

Answer 1

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Answer 2

AnswEr:

We have,

2πr = 44 m and h = 10 m

$\implies \tt2 \times \frac{22}{7} \times r = 44 \implies \: r = 7m$

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$\therefore \tt \: l = \sqrt{ {r}^{2} + {h}^{2} } = \sqrt{49 + 100} = \sqrt{149} \: m$

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$\large\sf\green{Lateral\:surface\:area\:\::-}$

$\tt = \pi \: rl = \frac{22}{7} \times 7 \times \sqrt{149} \: {m}^{2}$

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$\large\sf\orange{Length\:of\:the\:canvas\:\::-}$

$\tt = \frac{22}{7} \times \frac{7 \times \sqrt{149} }{2} \: m \: = 134.27m \:$

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