Download presentation

Presentation is loading. Please wait.

Published byCarolina Beever Modified over 2 years ago

1
Section 5.3 - Volumes by Slicing 7.3 Solids of Revolution

2
Find the volume of the solid generated by revolving the regions about the x-axis. bounded by

3
Find the volume of the solid generated by revolving the regions about the x-axis.bounded by

4
Find the volume of the solid generated by revolving the regions about the y-axis. bounded by

5
Find the volume of the solid generated by revolving the regions about the x-axis.bounded by

6
Find the volume of the solid generated by revolving the regions about the line y = -1.bounded by

7
Let R be the first quadrant region enclosed by the graph of a) Find the area of R in terms of k. b)Find the volume of the solid generated when R is rotated about the x-axis in terms of k. c) What is the volume in part (b) as k approaches infinity? HINT:

8
Let R be the first quadrant region enclosed by the graph of a) Find the area of R in terms of k.

9
Let R be the first quadrant region enclosed by the graph of b)Find the volume of the solid generated when R is rotated about the x-axis in terms of k.

10
Let R be the first quadrant region enclosed by the graph of c) What is the volume in part (b) as k approaches infinity?

11
Let R be the region in the first quadrant under the graph of a) Find the area of R. b)The line x = k divides the region R into two regions. If the part of region R to the left of the line is 5/12 of the area of the whole region R, what is the value of k? c)Find the volume of the solid whose base is the region R and whose cross sections cut by planes perpendicular to the x-axis are squares.

12
Let R be the region in the first quadrant under the graph of a) Find the area of R.

13
Let R be the region in the first quadrant under the graph of b)The line x = k divides the region R into two regions. If the part of region R to the left of the line is 5/12 of the area of the whole region R, what is the value of k? A

14
Let R be the region in the first quadrant under the graph of c)Find the volume of the solid whose base is the region R and whose cross sections cut by planes perpendicular to the x-axis are squares. Cross Sections

15
The base of a solid is the circle. Each section of the solid cut by a plane perpendicular to the x-axis is a square with one edge in the base of the solid. Find the volume of the solid in terms of a.

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google