Question

The volume of a conical tent is 1232 cubic meter and the area of it base is 154 sq meter.if the breadth of the canvas is 2 meter,then how long canvas Will required for the tent ?

Answer 1

Hello Mate!

Volume of conical tent = ⅓πr²h

Area of circular base = πr²

Area of circular base, πr² = 154 m²

1232 m³ = ⅓ × 154 m²

24 m = height

154 m² = πr²

154 m² × 7 / 22 = r²

49 = r² = 7

l = √( r² + h² )

= √( 7² + 24² )

= √625 = 25 cm

Curved surface area of cone = πrl

= 22/7 × 7 × 25 m² = 550 m²

So 550 m² canvas must be used,

Length × width = 550 m²

Length × 2 m = 550 m²

Length = 275 m

Have great future ahead!

Answer 2

given a conical tent with

Volume of the tent = 1232 m3

nd area of the base = 154m2

Let its radius be r

Area of the base = TTr2

= 22/7 x r2 = 154m2

= r2 = 154 x 7/22

= r2 = 49

= r = 7m

now its height = TTr2h

= 22/7 x 7m x 7m x h = 1232m3

= 154h = 1232m3

= h = 8m

Now, its length = l2 = h2 + r2

= l2 = ( 8m )2 + ( 7m )2

= l2 = 64m + 49m

= l2 = 113

= l = 10.63 ( approx )...