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

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Surface Area of Cylinders and Spheres
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What does surface area measure for a 3D object?

Total area covering all outer surfaces

A cylinder has a diameter of 2424 cm. What is its radius?

1212 cm

What is the formula for the curved surface area of an open cylinder?

SA=2πrhSA = 2\pi rh

What is the formula for the total surface area of a closed cylinder?

SA=2πr2+2πrhSA = 2\pi r^2 + 2\pi rh

What is the formula for the surface area of a complete sphere?

SA=4πr2SA = 4\pi r^2

What is the surface area formula for an open hemisphere?

SA=2πr2SA = 2\pi r^2

What is the surface area formula for a closed hemisphere?

SA=3πr2SA = 3\pi r^2

What distinguishes an open shape from a closed shape?

Open has only curved surfaces; closed has all

A cylinder has r=5r = 5 cm and h=10h = 10 cm. What is its curved surface area (use π3.14\pi \approx 3.14)?

314314 cm²

When calculating surface area for multiple identical objects, what strategy should you use?

Calculate one object first, then multiply

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