# December Volume of Pyramids and Cones You will need: Math Notes

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December 9 6-7 Volume of Pyramids and Cones You will need: Math Notes
Calculator Pink Formula Sheet Pencil Pre-Algebra

Volume of Pyramids and Cones
Pre-Algebra 6-7 Volume of Pyramids and Cones Warm Up 1. Find the volume of a rectangular prism that is 4 in. tall, 16 in. wide and 48 in deep. 2. A cylinder has a height of 4.2 m and a diameter of 0.6 m. To the nearest tenth of a cubic meter, what is the volume of the cylinder? 3072 in3 1.2 m3

Learn to find the volume of pyramids and cones.

A pyramid is named for the shape of its base
A pyramid is named for the shape of its base. The base is a polygon, and all of the other faces are triangles. A cone has a circular base. The height of a pyramid or cone is measured from the highest point to the base along a perpendicular line.

VOLUME OF PYRAMIDS AND CONES
(22) Remember B = area of base Fill these in on your pink formula sheet

Finding the Volume of Pyramids and Cones
Find the volume of the figure. A. 1 3 V = Bh 1 3 1 2 V = ( · 4 · 7 ) · 6 1 3 V = • 14 • 6 V = 28 cm3

Finding the Volume of Pyramids and Cones
Find the volume of the figure. B. V = Bh 1 3 1 3 V = • (32) • 10 1 3 V = • 9 • 10 V = 30  94.2 in3

Finding the Volume of Pyramids and Cones
Find the volume of the figure. C. V = Bh 1 3 1 3 V = • (14 • 6) • 10 1 3 V = • 84 • 10 V = 280 m3

Finding the Volume of Pyramids and Cones
Find the volume of the figure. A. 1 3 V = Bh 5 in. 7 in. 1 3 1 2 V = ( · 5 · 7 ) · 7 1 3 V = • 17.5 • 7 V = 40.8 cm3

Finding the Volume of Pyramids and Cones
Find the volume of the figure. B. V = Bh 1 3 1 3 V = • (32) • 7 7 m 1 3 V = • 9 • 7 3 m V = 21  65.9 in3

Try This: Example 1C Find the volume of the figure. C. V = Bh 1 3 8 ft 1 3 V = • (4 • 4) • 8 4 ft 4 ft 1 3 V = • 16 • 8 V  42.7 ft3

A sphere is the set of points in three dimensions that are a fixed distance from a given point, the center. A plane that intersects a sphere through its center divides the two halves or hemispheres. The edge of a hemisphere is a great circle.

Finding the Volume of a Sphere
Find the volume of a sphere with radius 9 cm, both in terms of p and to the nearest tenth of a unit. 4 3 V = pr3 Volume of a sphere = p(9)3 4 3 Substitute 9 for r. = 972p cm3  3,052.1 cm3

Try This Find the volume of a sphere with radius 3 m, both in terms of p and to the nearest tenth of a unit. 4 3 V = pr3 Volume of a sphere = p(3)3 4 3 Substitute 3 for r. = 36p cm3  m3

Copy down the homework in your agenda
THEN Clear your desk and have out a pencil!

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