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Mathematics
Mathematics
Problem
A ceramic vase is designed by rotating the curve
x
=
3
+
cos
(
y
)
x = 3 + \cos(y)
x
=
3
+
cos
(
y
)
defined for
0
≤
y
≤
π
0 \le y \le \pi
0
≤
y
≤
π
about the
y
y
y
-axis. All dimensions are in centimeters. Calculate the total internal volume of the vase.
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