Question

A circus tent is cylindrical up to a height of 3mt and conical above it. If its diameter is 105mt and the slant height of the cone is 63mt. Calculate the total surface area of the canvas required to make the tent.​

Answer 1

Answer:

The Length of the canvas required to make tent is 1947 m  

Step-by-step explanation:

SOLUTION :  

Given :  

Diameter of cylinder and cone = 105 m  

Radius of cylinder and cone ,r = 105/2 m = 52.5 m  

Height of a cylindrical part ,h = 3 m  

Slant height of a conical portion, l = 53 m

Width of a Canvas = 5 m  

Curved surface area of circus tent = πrl + 2πrh  

= πr(l + 2h)

= 22/7 × 52.5 (53 + 2 × 3)

= 22 × 7.5 ×(53 + 6)

= 165 × 59 = 9735 m²

Curved surface area of circus tent = 9735 m²

Length of the canvas required to make tent = Area of canvas/width of canvas = 9735/5 = 1947 m

Hence, the Length of the canvas required to make tent is 1947 m  

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