Question:
A circus tent is cylindrical to a height of 3 m 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.
Solution:
Given diameter = 105 m,
Radius = 105/2 m = 52.5 m
Therefore curved surface area of circus tent $=\pi r l+2 \pi r h$
$=(22 / 7 * 52.5 * 53)+(2 * 22 / 7 * 52.5 * 3)$
$=8745+990=9735 \mathrm{~m}^{2}$
Therefore length of the canvas required for tent
$=\frac{\text { Area of canvas }}{\text { Width of canvas }}$
$=\frac{9735}{5} \mathrm{~m}=1947 \mathrm{~m}$
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