Respuesta :

Answer:

The curved surface area of cylinder is 251.42 cm².

Step-by-step explanation:

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

[tex]\star\underline{\boxed{\sf{CSA_{(Cylinder)}} = 2\pi rh}}[/tex]

  • 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 :

[tex]\implies{\tt{CSA_{(Cylinder)}= 2\pi rh}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 4 \times 10}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 40}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{2 \times 22 \times 40}{7}}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{44 \times 40}{7}}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)}= \dfrac{1760}{7}}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} \approx 251.42 }}}[/tex]

[tex]{\star{\underline{\boxed{\tt{\red{CSA_{(Cylinder)} \approx 251.42 \: {cm}^{2}}}}}}}[/tex]

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

[tex]\rule{300}{2.5}[/tex]