View by Category

Loading...

PPT – Learn to find the volume of pyramids, cones, and spheres' PowerPoint presentation | free to view

The Adobe Flash plugin is needed to view this content

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

Learn to find the volume of pyramids, cones, and

spheres.

If you pour sand from a pyramid-shaped container

into a prism-shaped container with the same

height, base shape, and base size, you will

discover an interesting relationship. The

prism-shaped container appears to hold three

times as much sand as the pyramid-shaped

container.

In fact, the volume of a pyramid is exactly

one-third the volume of a prism that has the same

height, base shape, and base size as the pyramid.

The height of a pyramid is the perpendicular

distance from the pyramids base to its vertex.

Additional Example 1A Finding the Volume of a

Pyramid

Find the volume of the pyramid.

A.

1 3

V

Bh

Use the formula.

3 ft

Find the area of the rectangular base.

B 5 6 30

1 3

6 ft

V

30 3

Substitute for B and h.

5 ft

Multiply.

V 30

The volume is 30 ft3.

Additional Example 1B Finding the Volume of the

Pyramid

Find the volume of the pyramid.

B.

1 3

V

Bh

Use the formula.

Find the area of the triangular base.

1 2

B 2 3 3

1 3

Substitute for B and h.

V

3 5

Multiply.

V 5

The volume is 5 cm3.

Try This Example 1A

Find the volume of the pyramid.

A.

1 3

V

Bh

Use the formula.

4 ft

Find the area of the rectangular base.

B 9 7 63

1 3

V

7 ft

63 4

Substitute for B and h.

9 ft

Multiply.

V 84

The volume is 84 ft3.

Try This Example 1B

Find the volume of the pyramid.

B.

1 3

V

Bh

Use the formula.

h 4 m

Find the area of the triangular base.

1 2

B 3 8 12

1 3

Substitute for B and h.

V

12 4

Multiply.

V 16

3 m

h 8 m

The volume is 16 m3.

The volume of a cone is one-third the volume of a

cylinder with the same height and a congruent

base. The height of a cone is the perpendicular

distance from the cones base to its vertex.

Additional Example 2 Finding the Volume of a Cone

Find the volume of a cone to the nearest tenth.

Use 3.14 for ?.

1 3

?r2h

V

Use the formula.

1 3

3.14 52 6

Substitute.

V ?

Multiply.

V ? 157

The volume is about 157.0 yd3.

Try This Example 2

Find the volume of a cone to the nearest tenth.

Use 3.14 for ?.

1 3

?r2h

V

Use the formula.

3 yd

1 3

3.14 22 3

Substitute.

V ?

Multiply.

V ? 12.56

2 yd

The volume is about 12.6 yd3.

(No Transcript)

Additional Example 3 Finding the Volume of a

Sphere

Find the volume of the sphere to the nearest

tenth. Use 3.14 for ?.

4 3

?r3

Use the formula.

V

4 3

Substitute.

3.14 73

V ?

Multiply.

V ? 1436.026

Round.

V ? 1436.0

The volume is about 1,436.0 in3.

Try This Example 3

Find the volume of the sphere to the nearest

tenth. Use 3.14 for ?.

4 3

?r3

Use the formula.

V

4 in.

4 3

Substitute.

3.14 43

V ?

Multiply.

V ? 267.946

Round.

V ? 267.9

The volume is about 267.9 in3.

Lesson Quiz

Find the volume of each solid to the nearest

tenth. Use 3.14 for ?.

301.4 yd3

1. 2.

80 ft3

3. sphere with radius 3 ft 4. 14 ft tall

triangular pyramid whose base triangle has a 12

ft base and a height of 9 ft

113.0 ft3

252 ft3

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Page of

CrystalGraphics Sales Tel: (800) 394-0700 x 1 or Send an email

Home About Us Terms and Conditions Privacy Policy Contact Us Send Us Feedback

Copyright 2015 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2015 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Learn to find the volume of pyramids, cones, and spheres'" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!