Volumes Worksheet 6.3 - Calculus Maximus Page 7
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11Calculus Maximus
WS 6.3: Volumes
10. (AP 2010-4) Let R be the region in the first quadrant bounded by the graph of
y
2
x
, the horizontal
y , and the y-axis, as shown in the figure below.
line
6
(a) Find the area of R.
(b) Write, but do not evaluate, an integral expression that gives the volume of the solid generated when
y .
R is rotated about the horizontal line
7
, the cross section of the solid taken
(c) Region R is the base of a solid. For each y, where 0
y
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perpendicular to the y-axis is a rectangle whose height is 3 times the length of its base in region R.
Write, but do not evaluate, and integral expression that gives the volume of this solid.
Page 7 of 11
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