Question

A tent is cylindrical to a height of 4.8m and conical above it. The radius of the base is 4.5m and total height of the tent is 10.8m. Find the canvas required for the tent in square metres ​

Answer 1

The total area of canvas required is  241.623 m²

1) The Tent has a cylinder base with a radius of  4.5 m and height 4.8 m

The area required to make the cylindrical part would be curved surface area of Cylinder : 2πrh = 2*3.14*4.5*4.8 = 135.648 m²

2) The top part of tent is conical with radius of  4.5 m and height 10.8-4.8 = 6m

The area required to make the conical part would be curved surface area of Cone : πrl where l = $\sqrt{r^{2} + h^2 }$ =$\sqrt{4.5^2 + 6^2 } = 7.5$

= 3.14 * 4.5 *  7.5 = 105.975 m²

3) hence the total area required would be 135.648 + 105.975 = 241.623 m²