The area of the base of a rectangular juice box is 4 1/2 sq.in. If the volume of the box is 18 cubic inches, how tall is the box
1 answer:
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Answer:
About the x axis
About the y axis
About the line y=8
About the line x=2
Step-by-step explanation:
For this case we have the following functions:
About the x axis
Our zone of interest is on the figure attached, we see that the limit son x are from 0 to 2 and on y from 0 to 8.
We can find the area like this:
And we can find the volume with this formula:
About the y axis
For this case we need to find the function in terms of x like this:
but on this case we are just interested on the + part
as we can see on the second figure attached.
We can find the area like this:
And we can find the volume with this formula:
About the line y=8
The figure 3 attached show the radius. We can find the area like this:
And we can find the volume with this formula:
About the line x=2
The figure 4 attached show the radius. We can find the area like this:
And we can find the volume with this formula:
