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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. - Geometry

#### 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
•  $\frac{44}{\pi}$ cm

• 22 $\pi$ CM

•  44 $\pi$ CM

• $\frac{22}{\pi}$ cm

#### Solution

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

$\therefore 2\pi h = 440$
$\Rightarrow h = \frac{440}{2\pi r}$
$\Rightarrow h = \frac{440}{2\pi \times 5} = \frac{44}{\pi} cm$

Thus, the height of the cylinder is $\frac{44}{\pi}$cm.

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