Asked by christian
Find the volume generated by revolving the plane area within
y=2x^2 , y=0 , x=0 , x=5; about x axis
y=2x^2 , y=0 , x=0 , x=5; about x axis
Answers
Answered by
oobleck
using discs of thickness dx,
v = ∫[0,5] πr^2 dx
where r=y
v = ∫[0,5] π(2x^2)^2 dx
using shells of thickness dy,
v = ∫[0,50] 2πrh dy
where r=y and h = 5-x
v = ∫[0,50] 2πy(5-√(y/2)) dy
v = ∫[0,5] πr^2 dx
where r=y
v = ∫[0,5] π(2x^2)^2 dx
using shells of thickness dy,
v = ∫[0,50] 2πrh dy
where r=y and h = 5-x
v = ∫[0,50] 2πy(5-√(y/2)) dy
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