Question

Which of the following integrals correctly computes the volume formed when the region bounded by the curves x^2 + y^2 = 25, x = 3, and y = 0 is rotated around the y-axis?

Answer 1

@acxbox22 @Michele_Laino @rational @dan815 @Hero @inowalst @jigglypuff314 @amistre64 @Loser66 @Preetha @TheSmartOne @xapproachesinfinity

Answer 2

and your assessment is? and why?

Answer 3

@amistre64 so its a washer??

Answer 4

dx=pi(R^2-r^2)h

Answer 5

what then??

Answer 6

its a washer yes, no h needed, thatll be taken care of in your domain/limits

Answer 7

the biggest radius is the x=f(y)

the smaller is x=3

and we sum up from 0 to the intersection

Answer 8

@amistre64 so b?

Answer 9

they are not labeled ...

Answer 10

but the second one down is fine yes

Answer 11

can u help me w/ another ? @amistre64

Answer 12

not at the moment ... the pain is coming back to my elbow making typing difficult

Answer 13

@amistre64 when u get the chance

Answer 14

it doesnt have to be now

Answer 15

type up your thoughts, what do you think a solution process would be?

Answer 16

from here idk what to do

Answer 17

thats the area yes, and we need to find the area of a half circle, right? whats the formula for the area of half of a circle?

Answer 18

(Pi*r^2)/2

Answer 19

good, and we are given diameters, from 0 to f(x)

what is our radial measure for a given circle?

Answer 20

idk

Answer 21

@amistre64