Volumes Worksheet 6.3 - Calculus Maximus Page 10
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11Calculus Maximus
WS 6.3: Volumes
13. (AP 2007-1) (Calculator Permitted) Let R be the region in the first and second quadrants bounded
20
y .
above by the graph of
and below by the horizontal line
y
2
2
1
x
(a) Find the area of R.
(b) Find the volume of the solid generated when R is rotated about the x-axis.
(c) The region R is the base of a solid. For this solid, the cross sections, perpendicular to the x-axis, are
semicircles. Find the volume of this solid.
Page 10 of 11
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