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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?

A. 

4πrh + 4πr2

B. 

4πrh − 4πr2

C. 

4πrh + 2πr2

D. 

4πrh − 2πr2

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Answer with explanation

Answer: Option C

Explanation

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 new cylinder = 2h

And radius of the new cylinder = r

Therefore total surface area of new cylinder

= 2πr (2h) + 2πr2

= 4πrh + 2πr2

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