The radius of the base of a conical tent is 16 metres. If 4273/7 sq. metre canvas is required to construct the tent, then the slant height of the tent is: ( take = 227 )

Answer: Option D

Radius of cone (r) = 16 metre (given)
Let slant height = $$l$$ metre
Curved surface area
$$\begin{array}{rl}& \pi rl=427\frac{3}{7}{\text{m}}^2\left(\text{given}\right)\\ & \frac{22}{7}\times 16\times l=\frac{2992}{7}\\ & l=\frac{2992}{22\times 16}\\ & l=8.5\text{ metre}\end{array}$$