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.

विकल्प

• ${\displaystyle \frac{44}{\pi }}$ cm

• 22 $$\pi$$ CM 

•  44 $$\pi$$ CM 

• $$\frac{22}{\pi }$$ cm 

Answer 1

${\displaystyle \frac{44}{\pi }}$ 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

${\displaystyle \therefore 2\pi \text{h}=440}$

${\displaystyle \Rightarrow \text{h}=\frac{440}{2\pi \text{r}}}$

${\displaystyle \Rightarrow \text{h}=\frac{440}{2\pi \times 5}=\frac{44}{\pi }}$ cm

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