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**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

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#### Solution

**`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 cm^{2}

`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.

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