Download presentation

Published byArron Palmer Modified over 8 years ago

1
**December 9 6-7 Volume of Pyramids and Cones You will need: Math Notes**

Calculator Pink Formula Sheet Pencil Pre-Algebra

2
**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

3
**Learn to find the volume of pyramids and cones.**

4
**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.

5
**VOLUME OF PYRAMIDS AND CONES**

(22) Remember B = area of base Fill these in on your pink formula sheet

6
**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

7
**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

8
**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

9
**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

10
**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

11
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

12
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.

14
**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

15
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

16
**Copy down the homework in your agenda**

THEN Clear your desk and have out a pencil!

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google