Question

WHAT IS THE AREA OF THE CURVED SURFACE OF A CYLINDER OF BASE RADIUS 4 CM AND HEIGHT 10 CM

Answer 1

The curved surface area of cylinder is 251.42 cm².

Step-by-step Step-by-step explanation:

Here's the required formula to find the curved surface area of cylinder :

`\star\underline{\boxed{\sf{CSA_((Cylinder))} = 2\pi rh}}`

• Csa = Curved surface area
• π = 22/7
• r = radius
• h = height

Substituting all the given values in the formula to find the curved surface area of cylinder :

`\implies{\tt{CSA_((Cylinder))= 2\pi rh}}`

`{\implies{\tt{CSA_((Cylinder)) = 2 * (22)/(7) * 4 * 10}}}`

`{\implies{\tt{CSA_((Cylinder)) = 2 * (22)/(7) * 40}}}`

`{\implies{\tt{CSA_((Cylinder)) = (2 * 22 * 40)/(7)}}}`

`{\implies{\tt{CSA_((Cylinder)) = (44 * 40)/(7)}}}`

`{\implies{\tt{CSA_((Cylinder))= (1760)/(7)}}}`

`{\implies{\tt{CSA_((Cylinder)) \approx 251.42 }}}`

`{\star{\underline{\boxed{\tt{\red{CSA_((Cylinder)) \approx 251.42 \: {cm}^(2)}}}}}}`

Hence, the curved surface area of cylinder is 251.42 cm².

`\rule{300}{2.5}`