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12 – 3 Cylinders and Cones. Cylinders and Cones A cylinder is like a prism except that its bases are circles instead of polygons. In a right cylinder,

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Presentation on theme: "12 – 3 Cylinders and Cones. Cylinders and Cones A cylinder is like a prism except that its bases are circles instead of polygons. In a right cylinder,"— Presentation transcript:

1 12 – 3 Cylinders and Cones

2 Cylinders and Cones A cylinder is like a prism except that its bases are circles instead of polygons. In a right cylinder, the segment joining the center of the circular bases is an altitude. The length of the altitude is the height. A radius of a base is the radius of a cylinder

3 Cylinders and Cones Theorem 12 – 5 The lateral area of a cylinder equals the circumference of a base times the height of the cylinder Theorem 12 – 6 The volume of a cylinder equals the area of a base times the height og the cylinder.

4 Cylinders and Cones A cone is like a pyramid except that its base is a circle instead of a polygon. Just like a regular pyramid has a slant height a right cone also has a slant height.

5 Cylinders and Cones Theorem 12 – 7 The lateral area of a cone equals half the circumference of the base times the slant height. Theorem 12 – 8 The volume of a cone equals the area of a base times the height of the cone

6 Cylinders and Cones A cylinder has a radius 5cm and height 4 cm. Find the lateral area, the total area, and the volume of a cylinder. 4 5

7 Cylinders and Cones Find the lateral area, total area, and volume of a cone that has a radius of 3 and a height of 6 6 3


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