Question

a conical tent is 12m high and the radius of its base is 5m find the cost of canavs cloth required to make the tent at the rate of Rs 70/meter square

Answer 1

$\large \tt AHOY!!$

given :-

height of the conical tent = 12m

radius of the base = 5m

here we have to find the cost of canvas cloth required to make the tent @ rupees 70 per m².

we need to find the CSA (tents don't have base) of the conical tent.

we are given here only height and radius of the conical tent but we need the slant height of the conical tent to find it's CSA as we know it's formula is πrl where 'l' is the slant height of the cone.

by Pythagoras theorem we get,

=> (slant height)² = radius ² + height ² (slant height = hypotenuse, radius = base and height = perpendicular)

=> l² = 5² + 12²

=> l² = 25 + 144

=> l² = 169

=> l = √169

=> l = 13m

therefore the slant height of the conical tent is 13m.

now CSA of the conical tent = πrl

= 2 × 22/7 × 13

= 572/7

= 81.71m² (approximately)

therefore cost of canvas cloth required = 81.71 × 70

= 5719.7 rupees

$\large \tt HOPE \: T HIS \: HELPS!!$