Question 57

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

Solution

Surface area of the tent = 2$$\pi$$rh + $$\pi$$rl

= $$\pi$$r(2h + l)

= $$\frac{22}{7} \times 70(2 \times 3 + 80)$$

= $$18920$$

Width of the canvas = 2m

$$\therefore$$ Length of the Canvas required to make the tent = $$\frac{18920}{2} = 9460$$ m

Hence, option C is the correct answer.

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