We just went over how to find the surface area of a cylinder. We developed a formula for the surface area of cylinder based on the formula for the surface area of a prism. Now, practice using this formula by working through the following flashcards. Make sure to turn each card over to check your work.
Find the surface area of this cylinder.
\(\mathsf{ SA = 2\pi r^{2} + 2\pi rh }\)
\(\mathsf{ SA = 2\pi (4)^{2} + 2\pi (4)(7) }\)
\(\mathsf{ SA \approx 100.53 + 175.93 \approx 276.46in^{2} }\)
Find the surface area of a cylinder with a diameter of 18 cm and a height of 25 cm.
\(\mathsf{ SA = 2\pi r^{2} + 2\pi rh }\)
\(\mathsf{ SA = 2\pi (9)^{2} + 2\pi (9)(25) }\)
\(\mathsf{ SA \approx 508.94 + 1413.72 \approx 1922.66cm^{2} }\)
Find the surface area of a cylinder with a diameter of 3.5 m and a height of 10.5 m.
\(\mathsf{ SA = 2\pi r^{2} + 2\pi rh }\)
\(\mathsf{ SA = 2\pi (1.75)^{2} + 2\pi (1.75)(10.5) }\)
\(\mathsf{ SA \approx 19.24 + 115.45 \approx 134.69m^{2} }\)
Find the surface area of this cylinder.
\(\mathsf{ SA = 2\pi r^{2} + 2\pi rh }\)
\(\mathsf{ SA = 2\pi (5)^{2} + 2\pi (5)(12) }\)
\(\mathsf{ SA \approx 157.08 + 376.99 \approx 534.07cm^{2} }\)
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