Question

# A tent is in the form of a cylinder of diameter 4.2 m and height 4 m, surmounted by a cone of equal base and height 2.8 m. find the cost of canvas for making the tent at ₹ 100 per sq.m.

A

Rs 6590

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B

Rs 7590

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C

Rs 8590

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D

Rs 9876

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Solution

## The correct option is B Rs.(7590) The total surface area of the tent: T=2πrh1+πrl Where π=227;r=2.1 m h1=height of the cylinder=4 m h2=height of the cone=2.8 m l=slant height of the cone=√(2.8)2+(2.1)2=√7.84+4.41=√12.25∴l=3.5 m So, T=(2×227×2.1×4+227×2.1×3.5) m2=2×3.142×8.4+3.142×2.1×3.5=75.9m2 Therefore the cost of canvas for making the tent at ₹ 100 per sq meter =75.9×100=₹7590.

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