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Mathematics
Mathematics
Problem
The base of a solid is the region inside the ellipse
x
2
9
+
y
2
4
=
1
\dfrac{x^{2}}{9}+\dfrac{y^{2}}{4}=1
9
x
2
+
4
y
2
=
1
. Cross sections taken perpendicular to the
x
x
x
–axis are rectangles whose height is twice the length of the base in the region. What is the volume of the solid? a)
96
96
96
b)
128
128
128
c)
64
64
64
d)
256
256
256
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