Question

The circumference of the base of a 10 m height conical tent is 44 meters.Calculate the length of canvas used in making the tent if width of canvas is 2 m.(Use $\pi =\frac{22}{7})$

Answer 1

Circumference of the base of a conical tent = 44 m

$\therefore Radius\left(r\right)=\frac{C}{2\pi }=\frac{44\times 7}{2\times 22}=7mHeight\left(h\right)=10m\therefore Slantheight\left(l\right)=\sqrt{r^2+h^2}=\sqrt{(7{)}^2+(10{)}^2}=\sqrt{49+100}=\sqrt{149}m\therefore Areaofconvasused=\pi rl=\frac{22}{7}\times 7\times \sqrt{149}{m}^2=22\sqrt{149}{m}^{2}Widthofconvas=2m\therefore Lengthofcanvas=\frac{Area}{Width}=\frac{22\sqrt{149}}{2}=11\sqrt{149}m=11\times 12.206=134.266m=134.27m$