Find an equation of the largest sphere with center (3,3,6) that is contained completely in the first octant.

The equation of a sphere centered at (h, j, k) with radius r is

... (x -h)² +(y -j)² +(z -k)² = r²

The sphere can have a radius no larger than the distance to the nearest octant boundary, one of x=0, y=0, or z=0. That is, the radius must be 3, so the equation is

... (x -3)² + (y -3)² + (z -6)² = 9

side side side

side angle angle

angle side angle

side angle side

step-by-step explanation:

42

step-by-step explanation:

256/6=42