Find the volume of the solid generated by revolving the region bounded by y = 4 - z', y = 3z, and z = O about the zaxis. 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. Clearly mark your answer, leave answer in EXACT form. Do NOT give decimals.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the volume of the solid generated by revolving the region bounded by
y = 4 - z', y = 3z, and z =
O about the zaxis.
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.
Clearly mark your answer, leave answer in EXACT form. Do NOT give decimals.
Transcribed Image Text:Find the volume of the solid generated by revolving the region bounded by y = 4 - z', y = 3z, and z = O about the zaxis. 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. Clearly mark your answer, leave answer in EXACT form. Do NOT give decimals.
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