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## Homework Statement

Find an equation of the sphere one of whose diameters has (1, 3, -5) and

(3, -1, 3) as its endpoints.

## Homework Equations

midpoint.

## The Attempt at a Solution

i don't understand how to find the midpoint, even though its the mean of:

(2, 1, 1)

i've also been given the hint to find the measurement of a great circle:

sqrt( 4 + 16 + 64 ) = sqrt(80)

which equals: Thus,

(x-2) ^ 2 + (y-1) ^ 2 + (z-1) ^ 2 = 80

please help me solve this problem, i almost got it!