Calculus 3: 3D Shapes

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Last updated 4:57 AM on 9/24/25
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11 Terms

1
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Sphere

x²/a² + y²/b² + z²/c² = r²

<p>x²/a² + y²/b² + z²/c² = r²</p>
2
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Cylinder

x²/a² + y²/b² = r²

<p>x²/a² + y²/b² = r²</p>
3
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Ellipsoid

x²/a² + y²/b² + z/c = r² (a, b, c are different)

<p>x²/a² + y²/b² + z/c = r² (a, b, c are different)</p>
4
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Parabolic Hyperboloid

z/c = x²/a² + y²/b²

<p>z/c = x²/a² + y²/b²</p>
5
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Elliptic Parabloid

z/c = x²/a² + y²/b² (a and b are different)

6
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x²/a² + y²/b² + z²/c² = r²

Sphere

<p>Sphere</p>
7
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x²/a² + y²/b² = r²

Cylinder

<p>Cylinder</p>
8
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z = +/- sqrt(x^2 + y^2

Cone

<p>Cone</p>
9
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x²/a² + y²/b² + z/c = r² (a, b, c are different)

Ellipsoid

<p>Ellipsoid</p>
10
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z/c = x²/a² + y²/b² (a and b are different)

Elliptic Parabloid

<p>Elliptic Parabloid</p>
11
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z/c = x²/a² - y²/b²

Saddle --parabolic hyperboloid