Volume by Rotation

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Last updated 3:57 PM on 9/30/24
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6 Terms

1
New cards
<p>Disk, Horizontal</p>

Disk, Horizontal

V = pi Sab (f(x))² dx

<p>V = pi Sab (f(x))² dx</p>
2
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<p>Disk, Vertical</p>

Disk, Vertical

V = pi Scd (f(y))² dy

<p>V = pi Scd (f(y))² dy</p>
3
New cards
<p>Washer, Horizontal</p>

Washer, Horizontal

V = pi Sab (f(x))² - (g(x))² dx

<p>V = pi Sab (f(x))² - (g(x))² dx</p>
4
New cards
<p>Washer, VerticalV = pi Sab (f(x))² - (g(x))² dx</p>

Washer, VerticalV = pi Sab (f(x))² - (g(x))² dx

V = pi Sab (f(y))² - (g(y))² dy

<p>V = pi Sab (f(y))² - (g(y))² dy</p>
5
New cards
<p>Shell, Horizontal</p>

Shell, Horizontal

V = 2 pi Scd y (f(y)) dy

<p>V = 2 pi Scd y (f(y)) dy</p>
6
New cards
<p>Shell, Vertical</p>

Shell, Vertical

V = 2 pi Sab x (f(x)) dx

<p>V = 2 pi Sab x (f(x)) dx</p>