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

• \[2\pi r (r + h)\]

   

• \[\pi r (r + 2h)\]

   

• \[\pi r + (2r + h)\]

   

• \[2 \pi r^2 + h\]

Answer 1

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)`