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19. Calculate the surface area of a cylinder with a height of 60 cm and a circumference of 62. 8 cm.

a. 5 204 cm2
b. 5 023 cm2
c. 5 024 cm2
d. 5 025 cm2
.


Sagot :

Surface Area of Cylinder

[tex]__________________________[/tex]

Given:

  • height (h) = 60 cm
  • circumference (C) = 62.8 cm

Answer & Solution:

[tex]\bold{Step \ 1:}[/tex] Find the radius.

[tex]\sf C = 2 \pi r [/tex]

[tex]\sf r = \dfrac{C}{2 \pi}[/tex]

[tex]\sf r = \dfrac{62.8 \ cm}{2 \pi}[/tex]

[tex]\sf r \approx 10 \ cm[/tex]

[tex]\bold{Step \ 2:}[/tex] Find the surface area of the cylinder.

[tex]\sf SA = 2 \pi r h + 2 \pi r^2[/tex]

[tex]\sf SA = 2 \pi (10 \ cm) (60 \ cm) + 2 \pi (10 \ cm)^2[/tex]

[tex]\sf SA \approx 4398.23 \ cm^2[/tex]

∴ The surface area of the cylinder is 4398.23 cm^2