Question

6) Find curved surface Area of a cylinder cohoes
radius is 3cm and height is 14 cm .​

Answer 1

✫ The curved surface area of cylinder is 264 cm² ✫

Step-by-step explanation:

Given:-

• Radius of cylinder = 3 cm
• Height of cylinder = 14 cm

To find:-

• Curved surface area of cylinder

Required Formula:-

• Curved surface area of cylinder = 2πrh

Solution:-

Where,

• CSA = curved surface area
• r = 3 cm
• h = 14 cm

$\\ :\implies\sf{CSA=2 \times \pi\times 3 \times 14}\\ \\ :\implies\sf{CSA=2\times \pi \times 42}\\ \\ :\implies\sf{CSA=\frac{22}{\cancel{7}} \times \cancel{84}}\\ \\ :\implies\sf{CSA=22\times 12}\\ \\:\implies\boxed{\mathbf{CSA=264\;sq.cm}}\;\pink{\bigstar}$

• So,The curved surface area of cylinder is 264 sq.cm.

Answer 2

Step-by-step explanation:

$\frak{Given} = \begin{cases} &\sf{The\:Radius\:of\:the\:cylinder\:=\:3cm.} \\\\\\\\ &\sf{The\:Hieght\:of\:the\:cylinder\:=\:14cm}\end{cases}$

To find:-  

• Curved Surface Area of the cylinder .

Solution:-    

$\bigstar$ Here we have radius and height of the cylinder  to find the curved surface area we will use the formula , and the we will get the answer .

$\qquad\sf{\implies\:Curved\:Surface\:Area_{(Cylinder)}\:=\:2\:\pi \:r\:h}$

$\qquad\sf{\implies\:Curved\:Surface\:Area_{(Cylinder)}\:=\:2\:\times\dfrac{22}{7}\:\times\:3\:\times\:14}$

$\qquad\sf{\implies\:Curved\:Surface\:Area_{(Cylinder)}\:=\:2\:\times\dfrac{22}{7}\:\times\:42}$

$\qquad\sf{\implies\:Curved\:Surface\:Area_{(Cylinder)}\:=\:2\:\times22\:\times\:6}$

$\qquad\sf{\implies\:Curved\:Surface\:Area_{(Cylinder)}\:=\:44\:\times\:6}$

$\qquad\sf{\implies\:Curved\:Surface\:Area_{(Cylinder)}\:=\:264\:cm^{2}}$

$\color{lime}{\underline{\sf{Therefore\:the\:curved\:surface\:area\:of\:the\:cylinder\:is\:264\:cm^{2}}}}$