Question

The circumference of the base of cylinder is 44 cm and its height is 10 cm , then its curved surface area is​

Answer 1

Step-by-step explanation:

Given:-

• The circumference of the base of cylinder = 44cm

• Height of cylinder = 10cm

To Find:-

• The curved surface area of the cylinder.

Solution:-

$\sf Circumference \: of \: the \: base \: of \: cylinder = 2\pi r$

$\sf \longrightarrow 2 \pi r = 44$

$\sf \longrightarrow 2 \times \dfrac{22}{7}\times r = 44$

$\sf \longrightarrow \dfrac{44}{7}\times r = 44$

$\sf \longrightarrow r = 44\times \dfrac{7}{44}$

$\sf \longrightarrow r = 7cm$

$\sf \therefore \underline{Radius \: of \: the \: cylinder\: (r) = 7cm}$

$\sf Height \: of \: the \: cylinder \: (h) = 10cm$

$\sf Curved \: surface \: area \: (CSA) \: of \: cylinder = 2\pi rh$

$\sf \longrightarrow CSA= 2\times \dfrac{22}{7}\times 7 \times 10$

$\sf \longrightarrow CSA= 2\times 22 \times 10$

$\sf \longrightarrow CSA= 440cm^2$

$\underline{\boxed{\sf Curved \: surface \: area \: of \: cylinder = 440cm^2}}$