Find the equation of the sphere whose centre is and radius is .

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

Find the equation of the sphere whose centre is

(3,-2,5)

and radius is

4\,\text{units}

. (a)

(x-3)^2+(y-2)^2+(z-5)^2=16

(b)

(x-3)^2+(y+2)^2+(z-5)^2=16

(c)

(x-3)^2+(y+2)^2+(z-5)^2=4

(d)

(x-3)^2+(y+2)^2+(z-5)^2=32