bobbarkernar said:Homework Statement
16[(x^2-6x+9)+(y^2+2y+1)+(z^2)]=5+9+1
16[(x-3)^2 +(y+1)^2 +(z+0)^2]=15
The center of a sphere is the point that is equidistant from all points on the surface of the sphere. It is often denoted by the letter "O" or sometimes "C".
The center of a sphere can be determined by finding the midpoint of any diameter of the sphere. This can be done by measuring the distance between any two points on the sphere's surface and then dividing that distance by two. The resulting point will be the center of the sphere.
The radius of a sphere is the distance from the center of the sphere to any point on its surface. It is denoted by the letter "r".
The radius of a sphere can be calculated using the formula r = d/2, where d is the length of any diameter of the sphere. It can also be calculated by finding the square root of the sphere's volume divided by 4π.
The center and radius of a sphere are closely related, as the radius is the distance from the center to any point on the sphere's surface. In fact, the center and radius are the two key components used to define a sphere.