Finding the volume of a solid of revolution (washer method) Using the washer method, determine the volume of a solid formed by revolving the region in the first quadrant bounded on the left by the circle z? +3 = 16, on t right by the line z = 4, and above by the line y = 4 about the y-axis. The 2d picture below may help in determining the inner and outer radius of the washer used in setting up the integral for the volume. 2+ = For a dynamic 3d look at the solid, click here (This will open a new window.) Part 1. Setup the integral that represents the volume of the solid of revolution described above. Part 2. The volume of the solid is units cubed.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Finding the volume of a solid of revolution (washer method)
Using the washer method, determine the volume of a solid formed by revolving the region in the first quadrant bounded on the left by the circle z? + y = 16, on the
right by the line z = 4, and above by the line y = 4 about the y-axis.
The 2d picture below may help in detemining the inner and outer radius of the washer used in setting up the integral for the volume.
For a dynamic 3d look at the solid, click here
(This will open a new window.)
Part 1.
Setup the integral that represents the volume of the solid of revolution described above.
Part 2.
The volume of the solid is
units cubed.
NOTE: Type an exact value without using decimals.
Transcribed Image Text:Finding the volume of a solid of revolution (washer method) Using the washer method, determine the volume of a solid formed by revolving the region in the first quadrant bounded on the left by the circle z? + y = 16, on the right by the line z = 4, and above by the line y = 4 about the y-axis. The 2d picture below may help in detemining the inner and outer radius of the washer used in setting up the integral for the volume. For a dynamic 3d look at the solid, click here (This will open a new window.) Part 1. Setup the integral that represents the volume of the solid of revolution described above. Part 2. The volume of the solid is units cubed. NOTE: Type an exact value without using decimals.
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