• # question_answer A circular tent is cylindrical to a height of 3 metres and conical above it. If its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide to make the required tent. A)  3894 m                       B)  973.5 m       C)  1947 m   D)  1800 m

(c): Radius = 52.5 m Area of the entire canvas, used for the tent = Surface area of cylinder + Surface area of cone $=2\pi rh+\pi rl$ $=2\times \frac{22}{7}\times 52.5\times 3+\frac{22}{7}\times 52.5\times 53$ This surface areas has to be equal to $5\times \ell$ where $\ell =$ length of canvas. Thus, we have $5\ell =2\times \frac{22}{7}\times 52.5\times 3+\frac{22}{7}\times 52.5\times 53$ $\Rightarrow$   $\ell =1947\,\,m$