Question:

A Circus tent is cylindrical to a height of 3 m and conical above it. If the diameter of the base is 140 m and the slant height of the conical portion is 80 m, the length of canvas 2 m wide required to make the tent is

Updated On: Sep 26, 2024
  • 8960 m
  • 9660 m
  • 9460 m
  • 9860 m
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The Correct Option is C

Solution and Explanation

Cylinder

Surface area of the tent \(=2\pi rh+\pi rl\)
\(=\pi r(2h+1)\)
\(=\frac{22}{7}×70(2×3+80)\)
\(=18920\)
Width of the canvas \(=2m\)
∴Length of the Canvas required to make the tent \(=\frac{18920}{2}=9460\) m
Hence, option C is the correct answer. The correct option is (C): 9460 m

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