A cut through a right circular cylinder that is perpendicular to its altitude yields a circular cross-section.
A right circular cylinder that is cut on a plane not perpendicular to its altitude but also but also not parallel to its altitude will yield an ellipse whose minor axis is the diameter of the cylinder.
Trivial cases of a set of parallel lines, a single line, or the empty set occur when the cut is parallel to the altitude, externally tangent to the cylinder, or does not intersect the cylinder, respectively.
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The vertical cross section of a cylinder is a rectangle. It is created by slicing the cylinder along a plane parallel to its base. The resulting shape will have the same height as the cylinder but a width equal to the diameter of the base.
circle if the cylinder is place so that it can roll.
If the cylinder is placed on one of its circular faces, its cross-section is a rectangle.
A cylinder includes an infinite number of parallel lines. Every line in the curved surface is parallel to every other one and perpendicular to the two ends. . "A cylinder 2" is meaningless. You would have to look at the homework you're trying to get the answer for to see what cylinder 2 means.
A graph is a function if every input (x-value) corresponds to only one output (y-value). One way to check for this is to perform the vertical line test: if a vertical line intersects the graph at more than one point, the graph is not a function.
The circumference of a regular cylinder is the circumference of its circular face. C = pi * D (diameter of the cylinder) C = pi * 2r (or C = 2(pi)r)
Using the formula for the volume of a cylinder (V = πr^2h), and substituting the given values, we can find the radius. Rearranging the formula to solve for the radius gives us r = √(V / (πh)). Plugging in the values, we get the radius as √(146 / (10π)) ≈ 2.15 inches.
Vertical transformations involve shifting the graph up or down, affecting the y-values, while horizontal transformations involve shifting the graph left or right, affecting the x-values. Vertical transformations are usually represented by adding or subtracting a value outside of the function, while horizontal transformations are represented by adding or subtracting a value inside the function.