Graph x^{2} + y^{2} = 4 in 3D looks like

Engineering

Mathematics

Line of Greatest Slope

Question

Graph

x^{2} + y^{2} = 4

in 3D looks like

Circle

Cylinder

Hemisphere

Sphere

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The given curve is

x^{2} + y^{2} = 4

x

coordinate and y-coordinate are connected by

x^{2} + y^{2} = 4

which is locus of a circle with radius

2

But z-coordinate can be anything, so in three dimension the circle

x^{2} + y^{2} = 4

will be

stretched which will be a cylinder with radius same as the radius of the circle .

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