Anuj Gupta
1

The tent is in the shape of a cone.

The radius of the tent is given as 7 m and the height is given as 10 m as shown below.


The slant height l can be calculated from the formula l = \sqrt{r^{2}+h^{2}}

Substituting the values of r = 7 and h = 10 in the formula we get

l = \sqrt{49+100} = \sqrt{149} = 12.2 m


The surface area of the tent = \pi r l(since surface area of a cone is \pirl)

= \frac{22}{7}\times7\times 12.2 m^{2}

= 268.4m^{2}


Since the canvas covers the surface area of the tent, the area of the canvas is 268.4m^{2}

Length of the canvas = \frac{area}{width}


The width is given as 2m, and we have the area = 268.4m

So, the length of the canvas used = \frac{268.4}{2}=134.2 cm.



Krishna
0

Step 1: Note down the given measurements

              Radius of conical tent  (r) = 7 meters

                                      Height  (h) = 10 meters.

                            Width of canvas = 2 meters


Step 2: Find the slant height of the cone

            FORMULA:  Slant height l^2 = r^2 + h^2

                                                     l = \sqrt{r^2 + h^2}

                                                     l = \sqrt{7^2 + 10^2}

                                                     l = \sqrt{49 + 100}

                                                     l = \sqrt{149} = 12.2 m


Step 3: Calculate the surface area of the conical tent  

            FORMULA:  Surface area of the conical tent = \pi rl


                                                                = \frac{22}{7} * 7 * 12.2 m^2


                                                                        = 268.4 m^2


Step 4: Determine the length of canvas used in making the tent.

                  Area of the tent = 268.4 m^2


                    Length * width = 268.4 m^2


                                Length = \frac{268.4}{width}


                                Length = \frac{268.4}{2}


                                Length = 134.2 m