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Section 5.3 - Volumes by Slicing

7.3. Section 5.3 - Volumes by Slicing. Solids of Revolution. Find the volume of the solid generated by revolving the regions. bounded by. about the x-axis. Find the volume of the solid generated by revolving the regions. bounded by. about the x-axis.

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Section 5.3 - Volumes by Slicing

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  1. 7.3 Section 5.3 - Volumes by Slicing Solids of Revolution

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

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

  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 bounded by about the x-axis.

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

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

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