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  • 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 4pirh + 4\pi r^2.

Write ‘True’ or ‘False’ and justify your answer in the following :

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 4\pi rh + 4\pi r^2.

Answers (1)

It is given that there is two cylinders of height h and radius r.

            

            Where one is placed on other then the shape formed is

            

The total surface area of the shape formed =2\pi r (r +2h)  

\text{ [Using the total surface area of cylinder }=2\pi r (r +h)]

                        =2\pi r (r +h)

                        =2\pi r^2 + 4 \pi r h

So the surface area is not equal to 4\pi rh + 4\pi r^2.

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infoexpert21

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