Question

Choose the correct alternative answer for the following question.

The curved surface area of a cylinder is 440 cm 2 and its radius is 5 cm. Find its height.

Options

• `44/pi` cm

• 22 \[\pi\] CM 

•  44 \[\pi\] CM 

• \[\frac{22}{\pi}\] cm 

Answer 1

`44/pi` cm

Explanation:

The radius of the cylinder, r = 5 cm
Let the height of the cylinder be h cm. 
Curved surface area of the cylinder = 440 cm²

`therefore 2pi"h" = 440`

`=> "h" = 440/(2pi"r")`

`=> "h" = 440/(2pi xx 5) = 44/pi` cm

Thus, the height of the cylinder is `44/Pi` cm.