Surface Area of Cylinders and Spheres (HSC SSCE Mathematics Standard): Flashcards

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Surface Area of Cylinders and Spheres
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Definition of surface area

Total area covering all outer surfaces of a 3D object

Formula for open cylinder surface area

SA=2πrhSA = 2\pi rh

Formula for closed cylinder surface area

SA=2πr2+2πrhSA = 2\pi r^2 + 2\pi rh

How to find radius from diameter

Divide diameter by 2

Formula for sphere surface area

SA=4πr2SA = 4\pi r^2

Formula for open hemisphere surface area

SA=2πr2SA = 2\pi r^2

Formula for closed hemisphere surface area

SA=3πr2SA = 3\pi r^2

What surfaces does an open cylinder include?

Only the curved surface, no top or bottom circles

Relation between sphere and open hemisphere SA

Open hemisphere SA is exactly half of sphere SA

Components of closed hemisphere SA formula

Curved surface (2πr22\pi r^2) + circular base (πr2\pi r^2)

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