Question

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

Answer 1

Given,Height of a conical tent, $h=3.5m$ and radius of the base of conical tent, $r=12m$

Slant height,

$l=\sqrt{h^2+r^2}=\sqrt{(3.5{)}^2+(12{)}^2}$

$=\sqrt{12.25+144}$

$=\sqrt{156.25}=12.5m$

$\therefore$ Canvas required $=$ Curved surface area of the cone (conical tent)
$=\pi rl$

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

$=471.42m^2$

Hence, the canvas required to make the conical tent is $471.42m^2$.