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प्रश्न
A conical tent is accommodate to 11 persons each person must have 4 sq. metre of the space on the ground and 20 cubic metre of air to breath. Find the height of the cone.
उत्तर
Area of the base = 11 x 4 = 44 m2
and Volume of the cone = 11 x 20 = 220 m3
`1/3` x πR2h = 220 m3
Area of the base = πR2
∴ πR2 = 44
∴ R2 = `44/22 xx 7`
∴ R2 = 14
∴ R = `sqrt14`
By equation (i) and (ii), we get
`1/3 xx 22/7 xx sqrt14 xx sqrt14 xx h = 220`
h = `(220 xx 3)/(22 xx 2)`
h = `30/2` = 15 cm.
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