A conical tent is $10 \mathrm{~m}$ high and the radius of it base is $24 \mathrm{~m}$. Find the slant height of the tent. If the cost of 1 $\mathrm{m}$ canvas is Rs 70 , find the cost of canvas required for the tent.
It is given that
Height of the conical tent (h) = 10 m
Radius of conical tent (r) = 24 m
Let slant height of conical tent be l
$\mathrm{I}^{2}=\mathrm{h}^{2}+\mathrm{r}^{2}$
$=10^{2}+24^{2}=100+576$
$=676 \mathrm{~m}^{2}$
⟹ l = 26 m
Thus, the slant height of the conical tent is 26 m.
(ii) It is given that:
Radius(r) = 24 m
Slant height (l) = 26 m
C.S.A of tent = πrl
= 22/7 ∗ 24 ∗ 26
$=1378 / 7 \mathrm{~m}^{2}$
Cost of $1 \mathrm{~m}^{2}$ canvas $=$ Rs 70
Cost of $1378 / 7 \mathrm{~m}^{2}$ canvas $=$ Rs $1378 / 7$ * $70=$ Rs $1,37,280$
Thus the cost of canvas required to make the tent is Rs 1, 37, 280.