Question

THe points (3,4,7) and (7,0,9) are endpoints of a diameter of a sphere.
a) find the center of the sphere
b) find the radius of the sphere
c) write a equation for the sphere

Answer 1

Good question :p are you in calculus 3? This was day 1 material

Answer 2

do you do the midpoint to find the center of the sphere?

Answer 3

if so the midpoint would be (3+7/2, 4+0/2, 7+9/2)=(5, 2, 8)

Answer 4

then the radius would be the distance from any point to the center

Answer 5

to find the equation you take a point x,y,z and find the distance to the center (5.2.8)

Answer 6

that would show up as (x-5)^2+(y-2)^2+(z-8)^2=r^2

Answer 7

and if you need any more help feel free to pm

Answer 8

are the answers:
a) (5,2,8)
b) sqrt(29)
c) Equation ==> (x-5)^2 + (y-2)^2 + (z-8)^2 = sqrt(29)

Answer 9

@jefftheloveableguy

Answer 10

no I got the radius to be 3

Answer 11

oh..really? hmnmn...weird...so the radius is 3?

Answer 12

to find the distance between two points in space you use sqrt[(x-x1)^2+(y-y1)^2+(z-z1)^2)}

Answer 13

so...the radius is 3.

Answer 14

yep