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12.3 Surface Area of Circular Solidscylinder cone sphere
Cylinder: base is a circleContains 2 congruent parallel bases. Right circular cylinder perpendicular line from center to each base. Net: h r
Net: T113: LAcyl = Ch C = circumference h= height Lateral area: A = bh b = circumference (2πr or πd) h b h r
Total area: TA = 2(πr2) + 2πrhLateral area: A = bh b = circumference (2πr or πd) Net: b h h r
Find the surface area of the following cylinder:7cm TA = 2(πr2) + 2πrh 10cm
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.
l = slant height T114: LA = ½ Cl = πrl Net: C = circumferencer = radius
Find the surface area of the cone.The diameter is 10 The slant height is 6 TA = LA + Abase = πr2 + πrl
Sphere: special surface area formula.NO lateral edges No lateral area Proof will come later – requires limits. Postulate: TA = 4πr2 Radius of the sphere!
Find the total surface area of the following shapeFind the total surface area of the following shape. Hint: just what you see!
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