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  • How many square metres of canvas is required for a conical tent whose height is 3 5 m and the radius of the base is 12 m

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

Answers (1)

We have to find the square metres of canvas required for the given conical tent.

Area of canvas required = Curved surface area of conical text.

We know that,

The curved surface area of a cone=\pi r \sqrt{r^{2}+h^{2}}

Where r is the radius of its base and height is h.

As given in the question, the dimensions of a conical tent are:

Height = 3.5 m

Radius = 12 m

In putting the values,

Curved surface area =\frac{22}{7}\times 12\sqrt{\left ( 12 \right )^{2}+\left ( 3.5 \right )^{2}}

                                   =\frac{22}{7}\times 12 \times \sqrt{156.25}

                                   =\frac{22}{7}\times 12 \times 12.5

                                   =471.43\; m^{2}

So, the area of the canvas =471.43\; m^{2}

Therefore, the area of canvas required is 471.43\; m^{2}.

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