Question

Let V be the volume of the solid obtained by rotating the region bounded y=sqrt(25x) and y=(x^2)/25

a. find V by slicing

b. find V by cylindrical shells

Answer 1

First of all you need to graph the given functions. Can you graph it?

Answer 2

yes I already have the graph

Answer 3

So what make you confuse then?

Answer 4

im not sure how to set up the integral

Answer 5

well, it actually depends on the intersection of the graph.

Answer 6

looks like (25,25)

Answer 7

Yes so the intersections are (0,0) and (25,25)

Answer 8

So what strippin are you going to use, vertical or horizontal??

Answer 9

horizontal

Answer 10

Ahhh. Just be reminded that the limits you are going to use depends on what axis your stripping be perpendicular. So you will use horizontal stripping, then it will be perpendicular to y-axis, right? So you must use limits found in the y-coordinates of the intersection of you graphs.

Answer 11

its about the y-axis so yes thats correct

Answer 12

So your limits will be (0,25). and how about the next steps, can you continue now?

Answer 13

yea i got it thanks