Volume - Spinning in all directionskoblbauermath.weebly.com/uploads/1/3/1/9/13192946/volume2.pdf ·...
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How much material is required to make an object? Let's examine Titus' chew toy: Bounded regions can be rotated about lines other than the x-axis. Consider the region bounded by y = x and y = x 2 . What does it look like? What is the volume of the solid obtained by rotating the region about the x-axis? Compare this to the volume if the region is rotated about the line y = 2. Volume - Spinning in all directions
Transcript of Volume - Spinning in all directionskoblbauermath.weebly.com/uploads/1/3/1/9/13192946/volume2.pdf ·...
How much material is required to make an object? Let's examine Titus' chew toy:
Bounded regions can be rotated about lines other than the x-axis.
Consider the region bounded by y = x and y = x2. What does it look like?
What is the volume of the solid obtained by rotating the region about the x-axis?
Compare this to the volume if the region is rotated about the line y = 2.
Volume - Spinning in all directions
Compare this to the volume if the region is rotated about the line y = 2.
Now, rotate this region about the y-axis. What is its volume?
