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The radius of the tent, r = 5 m

Suppose the slant height = l m

Then the area of the cloth is pi*r*l = 165 m2

so l = 165/(5*pi) = 33/pi m = 10.504 m

If the vertical height of the tent is h m, then by Pythagoras,

h2 = l2 - r2 and therefore, h = 9.238 m

Then volume = 1/3*pi*r2*h = 241.85 m3

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