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SA Cylinders Spheres and Cones Math 10-3 Ch.3 Measurement

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Surface Area of a Cylinder – Review Given the following cylinder, determine the surface area: Height = 12 cm Radius = 6 cm Formula =

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SA of a Cylinder - Review First, calculate the area of the “label”: = 2 x 3.14 x 6 cm x 12 cm = 452.16 cm 2 Next, calculate the area of the circles: = 2 x 3.14 x 6 cm x 6 cm = 226.08 cm 2 Last, add together to get the total: SA = 452.16 cm 2 + 226.08 cm 2 = 678.24 cm 2

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Surface Area of a Sphere – Review Given the following sphere, determine the surface area: Radius = 3.5 mm Formula = SA = 4 x 3.14 x 3.5 mm x 3.5 mm = 153.86 mm 2

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Surface Area of a Cone Consider a cone: s = slant height r = radius h = height Consider the net of a cone: What shapes do you see? small circle and ~1/3 of a large circle

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SA of a Cone What is the formula for the area of a circle? A = r 2 The formula for the other shape is A = r s Add these together to get the SA formula! SA cone = r 2 + rs

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Ex2. Calculate the surface are of the following cone: s = 8 cm r = 4 cm formula = SA = r 2 + rs

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SA of a Cone First, determine the area of the circle: = 3.14 x 4 cm x 4 cm = 50.24 cm 2 Next, determine the area of the slanted part: = 3.14 x 4 cm x 8 cm = 100.48 cm 2 Last, add together to get the total Surface Area = 50.24 cm 2 + 100.48 cm 2 = 150.72 cm 2

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Prisms & Pyramids 1 Prism and Pyramids Formulas Prisms: Lateral Area: L.A. = ph (p = perimeter, h = height) Surface Area: S.A. = ph + 2B (B = area of base)

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