A circus tent is cylinderical up to a height of 3 m and conical above it. If its diameter is 105m and the slant height of the conical part is 63 m, then the total area of the canvas required to make the tent is(take π=22\7)

Explanation:

∴ radius of cone =105\2m

slant height of cone = 63 m

⇒ Curved surface area of cone =(πrl)

=22\7×105\2×63=10395m^2

= Radius of culinder =105\2m

Height = 3 m (given)

∴ Curved surface area of cylinder =2πrh

=2×227×105\2×3=990m^2

∴ Totall curved area of structure

⇒ curved area of cone + curved area of cylinder

=10395+990

=11385m^2

∴ Total area of canvas

=11385m^2