Conceptual answer please!!!
We constructed Riemann sums from vertical rectangles to calculate the area under a curved line. How might we use a similar idea to determine the volume of a curve that is rotated around the x-axis?

Question

Conceptual answer please!!!
We constructed Riemann sums from vertical rectangles to calculate the area under a curved line. How might we use a similar idea to determine the volume of a curve that is rotated around the x-axis?

inkyvoyd · Answer

Ok.

inkyvoyd · Answer

There's actually 2 ways to do this.

inkyvoyd · Answer

One of them is using disks, with each disk being a rotated rectangle

inkyvoyd · Answer

with height dx and radius f(x)

inkyvoyd · Answer

If you have a bit of time (1 or 2 hours), I would suggest watching the Khan academy vids, because I'm not nearly as god at explaining things as him.

inkyvoyd · Answer

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inkyvoyd · Answer

IMagine that
a. That is sqrt(x)=f(x)
b. You rotate it around the x axis.

anonymous · Answer

this is more for a discussion type answer so short hand version is fine :) Thank you and keep going I am with you so far

inkyvoyd · Answer

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