A circus tent is cylindrical to a height of 3 meters and conical above it.

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asked Mar 19 in Class X Maths by priya12 (-11,077 points)

A circus tent is cylindrical to a height of 3 meters and conical above it. If its diameter is 105 m and the slant height of the coniacl portion is 53 m calculate the length of the canvas which is 5 m wide to make the required tent.

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answered Mar 19 by muskan15 (-2,002 points)

Cylindrical area = 2πrh

 2 × 22/7 × 105/2 × 3 m2

And conical area = πrl

= 22/7 × 105/2 × 53 m2

Area of canvas = 2 × 22/7 × 105/2 × 3 + 22/7 × 105/2 × 53

= 15 × 11(2 × 3 + 53)

= 15 × 11 × 59 = 165 × 59 m3

Length of canvas = 165 × 59/5 m

 = 33 × 59 m

⇒  = 1947 m

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