- #1
lionely
- 576
- 2
Homework Statement
Find the volume of the solid generated by rotating about the y-axis
y= 1-x3 x=0 , y=0
I tried sketching the graph of y= 1-x^3 then tried to find the volume from y=1 to y=0.
if x^3 = 1-y
x= (1-y)1/3
so x2= (1-y)2/3
∏∫x2δy
=> ∏∫(1-y)2/3.dy = ∏[ -3/5(1-y)^(5/3)]
I did that for y=1 to y=0.
But I can't get the right answer.
I got 0pi
but the answer should be 3pi/5
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