Question

The circumference of the base of a conical tent is $44m$. If the height of the ten is $24m$, then find the length of the canvas used in making the tent if the width of the canvas is $2m$.

Answer 1

Let h be the height of the conical tent

r be the radius of its base B be the width of the canvas

Circumference of base=44

$2\times pie\times r=44$

$R=\frac{44\ast 7}{44}$

$R=7m$

$l=\sqrt{9\ast 7+44\ast 44}=5$

$Areaofcanvas=csaofcone$

$L\times B=pie\times r\times l$

$L=\frac{22\times 5\times 7}{7\times 2}=55m$

Thus the length of canvas used $55m$