The equation for the cylinder with radius 4 oriented symmetric about the z-axis is

Question

Quizplus · Accepted Answer

The equation for a cylinder with radius $r$ and height $h$ oriented symmetrically about the $z$-axis is $x^2+y^2=r^2$ and $-h/2\leq z\leq h/2$. In this case, $r=4$ and there is no restriction on $z$ given, so we can use $-\infty\leq z\leq\infty$. Therefore, the equation of the cylinder is $x^2+y^2=16$. Choice B is the only one that matches this equation.

The Equation for the Cylinder with Radius 4 Oriented Symmetric