Find the volume of the solid generated by revolving the region bounded by y = 4 − x^2 , y = 3x , and x = 0 about the x axis. Be sure to do all of the following: Draw a sketch. Draw a representative rectangle, this helps you determine the variable of integration and method. State method used: disk, washer or shell. The integral(s) you are using to find the volume. Clearly work out the integration. Leave answer in EXACT form.  Do NOT give decimals.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
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Find the volume of the solid generated by revolving the region bounded by y = 4 − x^2 , y = 3x , and x = 0 about the x axis.

Be sure to do all of the following:

  • Draw a sketch.
  • Draw a representative rectangle, this helps you determine the variable of integration and method.
  • State method used: disk, washer or shell.
  • The integral(s) you are using to find the volume.
  • Clearly work out the integration.
  • Leave answer in EXACT form.  Do NOT give decimals.
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