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Question

Write ‘True’ or ‘False’ and justify your answer
A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is 4πrh+4πr2.

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Solution

This statement is false.
Since, the total surface area of cylinder of radius, r and height ,
h=2πrh+2πr2
When one cylinder is placed over the other cylinder of same height and radius.
Then height of the new cylinder = 2h
And radius of the new cylinder = r
Total surface area of the new cylinder =2π(2h)+2πr2=4πrh+2πr2

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