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Question

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

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 =2.82+2.12=3.5 m

So,

T=(2×227×2.1×4+227×2.1×3.5)m2=75.9 m2

Therefore the cost of canvas for making the tent at Rs 100 per sq meter is Rs 7590.


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