Question

How many metres of cloth of 1.1 m widhtg will be required to make a conical tent whoae vertical height is 12 m and base radius is 16 m? Find also the cost of cloth used at the rate of rs 14 per metre.

Answer 1

Answer is in the above attachment

Answer 2

Step-by-step explanation:

Given :-

→ Width of cloth = 1.1m.

→ height of conical tent = 12m.

→ base r = 16m.

So,

$\begin{lgathered}\begin{lgathered} \sf {l}^{2} = {r}^{2} + {h}^{2} \\ \sf {l}^{2} = {16}^{2} + {12}^{2} \\ \sf {l}^{2} = 256 + 144 \\ \sf {l}^{2} = 400 \\ \sf l = 20\end{lgathered}\end{lgathered}$

Therefore, Curved surface area of cone=

$\begin{lgathered}\begin{lgathered} \sf \pi \times r \times l \\ \sf = 3.14 \times 16 \times 20 \\ \sf = 1005.71\end{lgathered}\end{lgathered}$

Length of cloth = 1005.71 /1.1 = 914.28.

Thus, cost of cloth =

= 914.28 × 14.

= rs 12799.92.

Hence, it is solved.