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Question
A cylinder with radius r and height h is closed on the top and bottom. Which of the following expressions represents the total surface area of this cylinder?
Options
- \[2\pi r (r + h)\]
- \[\pi r (r + 2h)\]
- \[\pi r + (2r + h)\]
\[2 \pi r^2 + h\]
Solution
Let S be the total surface area of the closed cylinder with radius r and height h, then
`S = 2pir^2 + 2pirh`
`⇒ S = 2 pi r ( r + h)`
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