Respuesta :

Answer:

  • 1323.45 cm²

Step-by-step explanation:

Given:

  • r = 8.2 cm
  • h = 17.5 cm

Total surface area:

  • S = 2πr² + 2πrh = 2πr(r + h)
  • S = 2*3.14*8.2(8.2 + 17.5) = 1323.45 cm² (rounded to the nearest hundredths)

Given:-

  • Radius of the cylinder = 8.2 cm.
  • Height of the cylinder = 17.5 cm

To Find:-

  • Circumference of the cylinder = ?

Solution:-

☼︎ Circumference of Cylinder;

Using Formula:

[tex]\red\bigstar {\underline{\boxed{\color{hotpink}{\textsf{ \textbf{ \: Circumference \: of \: circle \: = \: 2 \: π\: r \:(r + h) }}}}}} \\ \\ [/tex]

[tex] \sf \implies \: Circumference =2 \: π\: r \:(r + h) [/tex]

[tex] \sf \implies \: Circumference =2 ×\: 3.14×\: 8.2\:× (8.2 + 17.5) [/tex]

[tex] \sf \implies \: Circumference =2 ×\: 3.14×\: 8.2\:× (25.7) [/tex]

[tex] \sf \implies \: Circumference =2 ×\: (25.75)\:× (25.7) [/tex]

[tex] \sf \implies \: Circumference =2 ×\: 25.75\:× 25.7 [/tex]

[tex] \sf \implies \: Circumference =2 ×\: 25.748\:× 25.7 [/tex]

[tex] \sf \implies \: Circumference =2 ×\:661.7236 [/tex]

[tex] \sf \implies \: Circumference =1323.45 \: cm²\\\\ [/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\rule{150pt}{2pt}\\\\[/tex]

henceforth, the circumference of the Circle is 1323.45 cm²...!!