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A Tent of Height 8.25 M is in the Form of a Right Circular Cylinder with Diameter of Base 30 M and Height 5.5 M, Surmounted by a Right Circular Cone of the Same Base.

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Question

A tent of height 8.25 m is in the form of a right circular cylinder with diameter of base 30 m and height 5.5 m, surmounted by a right circular cone of the same base. Find the cost of the canvas of the tent at the rate of Rs 45 per m2.

Answer in Brief
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Solution

`l = sqrt((2.75)^2) + (15)^2`

`l = sqrt(232.5625)`

`= 15 .25`

Total surface area of the tent

`=2 pirh + pirl`

`=pir(2h + l)`

`=22/7 xx 15[2 xx 5 -5 + 15.25]`

`= (330 xx 26.25)/7`

`=1237.5`

Therefore,

Cost of the canvas of the tent

`=1237.5 xx 45`

`= "Rs . 55687.50"`

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