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What is the volume of a conical tent of radius 5 m formed by a cloth having an area of 165 sq m?
Wiki User
∙ 11y ago
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
Wiki User
∙ 11y ago
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