Question

How many square metres of canvas is required for a conical tent whose height is $3.5m$ and the radius of the base is $12m$?

Answer 1

Determine the canvas required for the tent

Given:

Height of the conical tent$=3.5m$

The radius of the base $=12m$

Since the area of canvas $=$ curved surface area of a conical tent

We know that, Curved surface area of a cone $=\pi r\sqrt{r^2+h^2}$

$$\begin{gathered} =\frac{22}{7}\times 12\times \sqrt{{\left(12\right)}^2+{(3.5)}^2} \\ =\frac{22}{7}\times 12\times \sqrt{156.25} \\ =\frac{22}{7}\times 12\times 12.5 \\ =471.43m^2 \end{gathered}$$

Therefore, the area of canvas required is $471.43m^2$.