Question 1

The length of canvas 1.1 m wide required to build a conical tent of height 14m and the floor area 346.5 $$m^{2}$$ is.

Solution

It is given conical base area = 346.5
So, $$\pi\left(r\right)^2\ $$ = 346.5
This gives radius = 10.5

Slant length of cone = $$\sqrt{h^2+r^2\ }$$
= $$\sqrt{14^2+10.5^2\ }\ =\ 17.5$$

Surface area of cone = $$\pi\ rl$$ = (10.5)(17.5)(3.14) = 576.97

Therefore, the length of canvas = 576.97/1.1 = 524.52

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