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The shaded region shown consists of 11 unit squares and rests along the x-axis and the y-axis. The shaded region is rotated about the y-axis to form a solid. In cubic units, what is the volume of the resulting solid? Express your answer in simplest form in terms of pi.

 

 Dec 5, 2020
 #1
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The shaded region shown consists of 11 unit squares and rests along the x-axis and the y-axis. The shaded region is rotated about the y-axis to form a solid. In cubic units, what is the volume of the resulting solid? Express your answer in simplest form in terms of pi.

 

V = 3*pi + 2*pi*4 = 11*pi

 Dec 5, 2020
 #2
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The volume of the solid is 35pi cubic units.

 Dec 6, 2020

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