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Question

Mathematics Question on Mensuration

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

A

8960 m

B

9660 m

C

9460 m

D

9860 m

Answer

9460 m

Explanation

Solution

Cylinder

Surface area of the tent =2πrh+πrl=2\pi rh+\pi rl
=πr(2h+1)=\pi r(2h+1)
=227×70(2×3+80)=\frac{22}{7}×70(2×3+80)
=18920=18920
Width of the canvas =2m=2m
∴Length of the Canvas required to make the tent =189202=9460=\frac{18920}{2}=9460 m
Hence, option C is the correct answer. The correct option is (C): 9460 m