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 O V = 48 OV=30 45 O V= 3 64 OV= 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
icon
Related questions
Question

Please explain how to solve, thank you!

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.
4
3
2
1
444
4567
-3-2
-2
&r to w
4
O V = 48
O V = 30
45
V =
3
64
5
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. 4 3 2 1 444 4567 -3-2 -2 &r to w 4 O V = 48 O V = 30 45 V = 3 64 5
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage