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The total surface area of a hollow cylin...

The total surface area of a hollow cylinder, which is open from both sides is 3575 `cm^2`, area of the base ring is 357.5 `cm^2` and height is 14 cm. Find the thickness of the cylinder .

Text Solution

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TSA=CSA of inside cylinder+CSA of outside cylinder+2*area of ring
`3575=2piR_1h+2piR_2h+2pi(R_2^2-R_1^2)`
`3575=2[14pi(R_1+R_2)+357.5]`
`R_1+R_2=(3575-715)/(28pi)`
`pi(R_2^2-R_1^2)=357.5`
`pi(3575-715)/(28pi)*(R_2-R_1)=357.5`
`R_2-R_1=228/8=7/2=3.5cm`.
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