The region in the first quadrant enclosed by the system of equations is rotated about the x-axis.

Question

mathmusician · Answer

attachment

mathmusician · Answer

That is the question

mathmusician · Answer

@Adrianna.Gongora

adrianna.gongora · Answer

@umerlodhi

myininaya · Answer

I would make a rough sketch first

myininaya · Answer

and use disk method

mathmusician · Answer

Okay thanks

mathmusician · Answer

at first I thought i had to just integrate y from 0 to 5 but that wasn't one of the answer choices

myininaya · Answer

yeah you volume to calculate not area

mathmusician · Answer

Okay so how do I do that instead do I integrate something else?

myininaya · Answer

have you done disk method?

mathmusician · Answer

I'm not sure maybe you could refresh my memory?

myininaya · Answer

the slices are all circles
find the general radius so you can find the general area for each circle
and then we will use integration to find the sum of those infinitely many circles from x=0 to x=5

mathmusician · Answer

So the general radius how do I find that?

myininaya · Answer

it is the distance from the x-axis to the given curve 

since the center of all the circles lie on the x-axis

myininaya · Answer

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