How many metres of cloth 4.4 m wide will be required to make a conical tent of radius of whose base is 3.5m and whose height is 8.4m .

Question

asked Apr 13, 2021 173k views

1 Answer

AniketGM · Answer 1 · 2021-04-19T01:45:32+0000

$\Huge{\boxed{\sf{\red{22.98m}}}}$

According to the question,

Slant height, l =
$\displaystyle{\sf{ \sqrt{{r}^2 + {h}^2} = \sqrt{{3.5}^2 + {8.5}^2}}}$

$\implies$
$\displaystyle{\sf{ = 9.192m}}$

curved surface area =
$\displaystyle{\sf{ \pi rl}}$

$\implies$
$\displaystyle{\sf{ (22)/(7) * 3.5 * 9.192{m}^2}}$

$\implies$
$\displaystyle{\sf{ 101.112}}$

i.e., Area of the cloth is 101.11m²

Now, length of the cloth required =
$\displaystyle{\sf{ (area)/(width)}}$

$\implies$
$\displaystyle{\sf{ (101.11)/(4.4)}}$

$\implies$
$\large{\boxed{\sf{\red{22.98m}}}}$