Equation of a Sphere
Read this topicExplanations 4
- A sphere is the set of all points a given distance (its "radius") from a given point (the "center" of the sphere). As the sphere is a generalization of the circle, it stands to …
By Max Schindler, Anonymous, Moor Xu
- Let's think about a sphere for a bit. For a concrete example, we could consider, say, a beach ball or a marble or a tennis ball or any such spherical object of your liking. If y…
By Ruiran Xun, Victor Wang
- Equation of a Sphere, Plus Center and Radius by Krista King Sphere's are the 3D representations of circles. The equation of a sphere is similar to that of a circle, but with an …
By Alex Federspiel
- Sphere Intersection So we know how to graph a sphere. But how can we tell if two spheres intersect? Let's start out with some smaller dimensions. Note: Not everyone agrees on th…
By Liza Sulkin, Victor Wang
Problems 8
- Now imagine that the rope is lifted at all points simultaneously, so that it floats above the Earth at the same height all along its length. What is the largest thing that could…
- Now imagine that the rope is lifted at all points simultaneously, so that it floats above the Earth at the same height all along its length. What is the largest thing that could…
- Suppose the equation of a sphere is (x−1)2+(y−4)2+(z−1)2=4.(x-1)^2 + (y-4)^2 + (z-1)^2 = 4.(x−1)2+(y−4)2+(z−1)2=4. Which of the following are within the sphere? Mark all that ap…
- What is the radius for a sphere with the equation (x−7)2+(y−5)2+(z−2)2=196?(x - 7)^2 + (y - 5)^2 + (z - 2)^2 = 196?(x−7)2+(y−5)2+(z−2)2=196?
- Consider the "growing sphere" that has the equation (x−2)2+(y+1)2+(z−α)2=α2(x - 2)^2 + (y + 1)^2 + (z - \alpha)^2 = \alpha^2(x−2)2+(y+1)2+(z−α)2=α2 where α\alphaα is a positive …
- What is the radius of the sphere that has equation x2−6x+y2+10y+z2+22z+119=0?x^2 - 6x + y^2 + 10y + z^2 + 22z + 119 = 0?x2−6x+y2+10y+z2+22z+119=0?
- If the equation of a sphere is (x−1)2+(y−4)2+(z−1)2=4(x-1)^2 + (y-4)^2 + (z-1)^2 = 4(x−1)2+(y−4)2+(z−1)2=4 Which of the following are outside (and not on) the sphere? Mark all t…
- Consider the "growing sphere" that has the equation (x−α)2+(y+1)2+(z−1)2=α2(x - \alpha)^2 + (y + 1)^2 + (z - 1)^2 = \alpha^2(x−α)2+(y+1)2+(z−1)2=α2 where α\alphaα is a positive …