Question

How many metres of cloth,5m wide,will be required to make a conical tent,the radius of whose base is 7m and height is 24m?

Answer 1

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Answer 2

AnswEr:

Let x m be the radius, h m be the height and l m be the slant height of the tent . Then,

• x = 7 m
• h = 24 m

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$\qquad \tt \therefore \: l = \sqrt{ {r}^{2} + {h}^{2} } \\ \\ \qquad \tt \implies \: l = \sqrt{49 + 576} \\ \\ \qquad \tt \implies \sqrt{625} = 25$

Now,

Curved surface -

$\tt \: \pi \: rl \: {m}^{2} = ( \frac{22}{7} \times 7 \times 25) \: {m}^{2} \\ \\ \tt = 550 \: {m}^{2}$

$\therefore$ Area of the canvas used = 550 m²

It is given that the width of the canvas is 5 m.

$\therefore$ Length of the canvas used -

$\qquad \tt \frac{area}{width} \\ \\ = \qquad \tt \cancel \frac{550}{5} \: m \\ \\ \qquad \tt = 110 \: m$