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Answer :

Given :

Radius (r) of conical cap = 7 cm

Height (h) of conical cap = 24 cm

Slant height (l) of the conical cap

\(\Rightarrow \) \({l}^2 = {h}^2 + {r}^2\)

\(\Rightarrow \) \(l^2= {7}^2 + {24}^2\) \({cm}^2\)

\(\Rightarrow \) \(l^2= 625\) \({cm}^2\)

\(\Rightarrow \) \({l}^2 = {25}^2 cm\)

\(\Rightarrow \) l = 25 cm

Therefore, the slant height Of the tent is 25 cm.

We know, CSA of tent

= \({\pi}rl\)

= [\(\frac{22}{7} × 7 × 25\) \({cm}^2\)]

= [\(22 × 1 × 25\) \({cm}^2\)]

= \(550\) \({cm}^2\)

Thus, CSA of 10 such caps

= (10 x 550) \({cm}^2\)

= 5500 \({cm}^2\)

\(\therefore \) 5500 \({cm}^2\) sheet will be required.

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