Question

The diameter of the base of a right circular cylinder is 35 m and its height is 21 m.
Find its curved surface area. please step by step​

Answer 1

Step-by-step explanation:

$\bf{\underline{\underline\red{Given:-}}}$

• The diameter of the base of a right circular cylinder is 35cm

• The height of the cylinder is 21cm.

$\bf{\underline{\underline\blue{To\:Find:-}}}$

• The curved surface area of the cylinder.

$\bf{\underline{\underline\green{Solution:-}}}$

The diameter of the cylinder = 35cm

$\rm\implies Radius = \dfrac{Diameter}{2}$

$\rm\implies \dfrac{35}{2}$

$\rm\implies 17.5cm$

∴ Radius of the cylinder = 17.5cm

Height = 21cm

As we know that

The curved surface area (CSA) of a cylinder is given by the formula

$\boxed{\rm \leadsto CSA \: of \: cylinder = 2\pi rh}$

Here:-

• π = 22/7

• r = Radius = 17.5cm

• h = height = 21cm

Substituting the values:-

$\rm= 2\pi rh$

$\rm= 2 \times \dfrac{22}{7} \times 17.5 \times 21$

$\rm= 2 \times {22} \times 17.5 \times3$

$\rm= 44\times 52.5$

$\rm= 2310$

$\underline{ \boxed{ \purple{\rm \therefore CSA \: of \: cylinder = 2310 {cm}^{2} }}}$