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10 cards from this deck
V=π∫ab[y(x)]2 dxV = \pi \int_a^b [y(x)]^2 \, dxV=π∫ab[y(x)]2dx
V=π∫ab[x(y)]2 dyV = \pi \int_a^b [x(y)]^2 \, dyV=π∫ab[x(y)]2dy
Squared radius multiplied by π\piπ
Region bounded by y=f(x)y=f(x)y=f(x), x-axis, vertical lines x=ax=ax=a, x=bx=bx=b
Region bounded by x=g(y)x=g(y)x=g(y), y-axis, horizontal lines y=ay=ay=a, y=by=by=b
Square it
V=πr2hV = \pi r^2 hV=πr2h
Vcomposite=Vouter−VinnerV_{\text{composite}} = V_{\text{outer}} - V_{\text{inner}}Vcomposite=Vouter−Vinner
In exact terms with π\piπ
The axis of rotation
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