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.

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asked Mar 18 in Class X Maths by aditya23 (-854 points)

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 .

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1 Answer

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answered Mar 18 by priya12 (-11,407 points)

Area of the base = 11 × 4 = 44 m2

And volume of the cone = 11 × 20 = 220 m3

1/3 × πR2h = 220 m3      ….(i)

Area of the base = πR2

πR2 = 44

R2 = 44/22 × 7;

R2 = 14

R = √14                        ……(ii)

By equation (i) and (ii), we get

1/3 × 22/7 × √14 × √14 × h = 220

h = 220 × 3/22 × 2

h = 30/2 = 15 cm

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