MAT136H1 Lecture : 6.2 Volumes Overview
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MAT136H1 Full Course Notes
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Document Summary
The key is finding the right expression for the of the solid formed as a result of rotating the function abut a line. When the shaded area between two functions and are rotated about a line, a washer is formed. Washer means the cross section of the solid has a hole inside. It is also known as an annular ring. When the function is rotated over a horizontal line (eg. -axis or where is any constant number), the extends vertically, and the of or for each of the cross-sectional cylinder extends horizontally. Then the integral is done over the variable. When the function is rotated over a vertical line (eg. y-axis or where is any constant number) the extends horizontally, and the of or for each of the cross-sectional cylinder extends vertically.
