The base of a three-dimensional figure is bound by the y-axis and the curve x = -3y2 + 6 on the interval [-1, 1]. Vertical cross sections that are perpendicular to the y-axis are right triangles with a height equal to 6. Find the numerical volume of the figure. 6 7 O V= 48 O V = 30 45 O V = O v=

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The base of a three-dimensional figure is bound by the y-axis and the curve x =
-3y2 + 6 on the interval [-1, 1]. Vertical cross sections
that are perpendicular to the y-axis are right triangles with a height equal to 6.
Find the numerical volume of the figure.
3-2 -1LA2
6 7
O V= 48
O V= 30
45
O V =
3
O V=
Transcribed Image Text:The base of a three-dimensional figure is bound by the y-axis and the curve x = -3y2 + 6 on the interval [-1, 1]. Vertical cross sections that are perpendicular to the y-axis are right triangles with a height equal to 6. Find the numerical volume of the figure. 3-2 -1LA2 6 7 O V= 48 O V= 30 45 O V = 3 O V=
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