Download presentation

Presentation is loading. Please wait.

Published byAdeline Hover Modified over 2 years ago

1
Section 6.2

2
Solids of Revolution – if a region in the plane is revolved about a line “line-axis of revolution” Simplest Solid – right circular cylinder or “Disc” Volume: circular cylinder = πr 2 h

3
Disc Method – representative rectangle is perpendicular to axis (and touches axis of rotation) i) Horizontal Axis of Revolution i) Vertical Axis of Revolution

6
P.430 # 1-5,15

7
Representative rectangle is perpendicular to the axis of revolution (does NOT touch the axis) Solid of Revolution with a hole

8
Outer radius – inner radius

10
Find the volume of the solid generated by revolving the region bounded by the graph of y=x 3, y=1, and x=2 about the x-axis.

11
Find the volume of the solid generated by revolving the region bounded by the graph of y=x 3, y=x, and between x=0 and x=1, about the y-axis.

12
Find the volume of the solid formed by revolving the region bounded by the graphs y=4x 2 and y=16 about the line y=16.

13
Find the volume of the solid formed by revolving the region bounded by the graphs y=2 and about the line y=1.

14
Find the volume of the solid formed by revolving the region bounded by the graphs y=0, x=1 and x=4 about the line y=4

15
P.430 # 11, 16, 17, 19, 23, 27, 32, 34

Similar presentations

OK

Volumes Using Cross-Sections Solids of Revolution Solids Solids not generated by Revolution Examples: Classify the solids.

Volumes Using Cross-Sections Solids of Revolution Solids Solids not generated by Revolution Examples: Classify the solids.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on overhead service connection Ppt on high voltage engineering tutorial Ppt on time management in hindi Ppt on tcp/ip protocol driver Ppt on series and parallel circuits Ppt on hydroelectric power station Ppt on school life and college life Ppt on conciliation arbitration adjudication Convert word document to ppt online free Download ppt on excretion in human beings