Asked by Jamie
The base of a three-dimensional figure is bound by the line y = 6 - 2x on the interval [-1, 2]. Vertical cross sections that are perpendicular to the x-axis are rectangles with height equal to 2. Find the volume of the figure.
The base of a three-dimensional figure is bound by the line x = -2y - 2 on the interval [-4, -1]. Vertical cross sections that are perpendicular to the y-axis are squares. Find the volume of the figure.
The base of a three-dimensional figure is bound by the line x = sqrt(y)+2 on the interval [1, 9]. Vertical cross sections that are perpendicular to the y-axis are squares. Find the volume of the figure.
How do I solve these problems? I don't need the answers, just guidance on how to do it.
The base of a three-dimensional figure is bound by the line x = -2y - 2 on the interval [-4, -1]. Vertical cross sections that are perpendicular to the y-axis are squares. Find the volume of the figure.
The base of a three-dimensional figure is bound by the line x = sqrt(y)+2 on the interval [1, 9]. Vertical cross sections that are perpendicular to the y-axis are squares. Find the volume of the figure.
How do I solve these problems? I don't need the answers, just guidance on how to do it.
Answers
Answered by
Damon
draw a sketch
If the interval means from x = -1 to x = +2, then it is also from y = 2 to y = 8
As I read it then this base is a triangle with corners at
(-1,8) (2,2) and (-1,2)
The volume of the figure would then be 2 times the area of the base
Area of base = (1/2) (3)(6) = 9
so volume = 18
If the interval means from x = -1 to x = +2, then it is also from y = 2 to y = 8
As I read it then this base is a triangle with corners at
(-1,8) (2,2) and (-1,2)
The volume of the figure would then be 2 times the area of the base
Area of base = (1/2) (3)(6) = 9
so volume = 18
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.