- #1
tweety1234
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Homework Statement
The height of an (axially symmetric) pipe z as a function of the distance from the axis of symmetry is [tex] z = 2-2x^{2} [/tex] , where both z and x are measured in metres, and where [tex] 0 \leq z \leq 2 [/tex] and [tex] 0 \leq x \leq 1 [/tex] What is the total volume of hay in cubic metres
in the haystack?
The correect answer is [tex] \pi [/tex]
I am told this is a volumes of revolutions problem, how would I go about solving it?
Not sure I know the equation for volumes of revolution is [tex] V = \int^{b}_{a} \pi y^{2} dx [/tex]
Any help appreciated.