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Mathematics
Problem
A reservoir occupies the region defined by
(
x
+
2
)
2
+
(
y
−
3
)
2
+
z
2
≤
64
(x+2)^2+(y-3)^2+z^2\le 64
(
x
+
2
)
2
+
(
y
−
3
)
2
+
z
2
≤
64
(all coordinates in metres). Calculate its volume in cubic metres. a)
1024
3
π
\dfrac{1024}{3}\pi
3
1024
π
b)
2048
3
π
\dfrac{2048}{3}\pi
3
2048
π
c)
512
3
π
\dfrac{512}{3}\pi
3
512
π
d)
256
π
256\pi
256
π
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