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**12.3 Surface Area of Circular Solids**

cylinder cone sphere

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**Cylinder: base is a circle**

Contains 2 congruent parallel bases. Right circular cylinder perpendicular line from center to each base. Net: h r

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Net: T113: LAcyl = Ch C = circumference h= height Lateral area: A = bh b = circumference (2πr or πd) h b h r

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**Total area: TA = 2(πr2) + 2πrh**

Lateral area: A = bh b = circumference (2πr or πd) Net: b h h r

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**Find the surface area of the following cylinder:**

7cm TA = 2(πr2) + 2πrh 10cm

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l Cone: base is a circle Slant height and lateral height are the same. l = slant height Cone will mean a right cone where the altitude passes through the center of the circular base.

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**l = slant height T114: LA = ½ Cl = πrl Net: C = circumference**

r = radius

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**Find the surface area of the cone.**

The diameter is 10 The slant height is 6 TA = LA + Abase = πr2 + πrl

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**Sphere: special surface area formula.**

NO lateral edges No lateral area Proof will come later – requires limits. Postulate: TA = 4πr2 Radius of the sphere!

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**Find the total surface area of the following shape**

Find the total surface area of the following shape. Hint: just what you see!

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