Asked by monica
find the volume of the solid formed by rotating region enclosed by:
y=e^3x , y=0, x=0, x=0.1
about the y-axis.
volume =?
y=e^3x , y=0, x=0, x=0.1
about the y-axis.
volume =?
Answers
Answered by
oobleck
using shells of thickness dx
v = ∫[0,0.1] 2πrh dx
where r = x and h = y = e^(3x)
v = ∫[0,0.1] 2πxe^(3x) dx = 0.038
v = ∫[0,0.1] 2πrh dx
where r = x and h = y = e^(3x)
v = ∫[0,0.1] 2πxe^(3x) dx = 0.038
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