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Question
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.
Options
True
False
Solution
This statement is False.
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 the new cylinder = 2h
And radius of the new cylinder = r
∴ Total surface area of the new cylinder
= 2πr(2h) + 2πr2
= 4πrh + 2πr2
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