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Volume by Disk/Washers - Classwork - Hollywood High School

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Example 5) Find the volume if the region enclosing y = x + 1, x = 0, y = 0, x = 3 is rotated about the<br />

a) x-axis b) the y-axis c) the line x = 3<br />

R = ________ r = ________ R = ________ r = ________ R = ________ r = ________<br />

V = ____________________ V = ____________________ V = ____________________<br />

Example 6) Find the volume if the region enclosing y = x 2 , y =<br />

3 x is rotated about the<br />

a) x-axis b) the y-axis c) the line y = 1<br />

R = ________ r = ________ R = ________ r = ________ R = ________ r = ________<br />

V = ____________________ V = ____________________ V = ____________________<br />

Example 7) The region in the figure below is revolved about the indicated lines. Order the volumes of the<br />

resulting solids from smallest to largest. Justify your answers. a) x-axis b) y-axis c) x = 4, d) y = 2<br />

The function is y =<br />

x<br />

MasterMathMentor.com - 174 - Stu Schwartz

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