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A cylinder has a radius of 10 and a height of 20. What is the surface area of the cylinder?

Sagot :

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION} }: [/tex]

  • We're provided : Radius of cylinder ( r ) = 10 units & Height of a cylinder ( h ) = 20 units. We know , The value of pi ( π ) = [tex] \frac{22}{7} [/tex]

  • You need to know - The formula to find the surface area of cylinder = 2πr ( r + h ) where r , h & π are radius , height & pi respectively.

[tex] \large{ \tt{❁ \: LET'S \: START : }}[/tex]

[tex] \boxed{ \large{ \tt{SURFACE\: AREA \: OF \: CYLINDER = 2\pi \: r \: (r + h)}}}[/tex]

- Plug the known values and simplify :

[tex] \large{ \tt{⇢2 \times \frac{22}{7} \times 10(10 + 20)}}[/tex]

[tex] \large{ \tt{⇢ \: 2 \times \frac{22}{7} \times 10 \times 30 }}[/tex]

[tex]⇢ \boxed{\large{ \bold{\tt{1885.71 \: \text {units}^{2} }}}}[/tex]

  • Hence , The total surface area of cylinder with radius 10 units & height 20 units is 1885.71 units² .

[tex] \tt{✺ \: THE \: BEST \: REVENGE \: IS \: MASSIVE \: \bold{ \tt{SUCCESS} !\: ♪}}[/tex]

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