a tent is in the form of a right circular cylinder up to a height of 3m and conical above it. the total height of tent is 15m and radius of base is 5m. find the cost of cloth required to make the tent at the rate of 70 per sq m.
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Radius of base of cylindrical portion=14m
Height of cylindrical portion=3m
Curved surface area of cylindrical part=2×
7
22
×14×3
Height of conical part=13.5−3=10.5m
For conical part:r=14m,h=10.5m
l=
(14)
2
+(10.5)
2
=
306.25
l=17.5m
CSA of conical part=πrl=
7
22
×14×17.5=770㎡
∴Total area to be painted=(264+770)㎡=1034㎡
Cost of painting=Rs. (1034×2)=Rs. 2068
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