Question

Find the volume formed by rotating the region enclosed by:x=7y
and y^3=x with y>0
about the -axis.
Volume = ?

Answer 1

what is your opinion ,ideas ?

Answer 2

x=7y so for you graph it need adding values to x and calculi ,so

when x = 0 you get y=0 too

for x=1 result y = 1/7
for x=7 ---- y= 1

in case of second equation

y^3 =x when y>0

for y = 1 result x= 1
-- y= 2 --- x= 8

so than now we graph these points