Equation of the sphere of radius 3 and tangent to coordinate-planes Date of Exam May 2016 Subject Mathematics, Surveying and Transportation Engineering Problem Find the equation of a sphere of radius 3 and tangent to all three coordinate planes if the center is on the first octant. A. x2+y2+z2−9=0 B. x2+y2+z2−6x−6y−6z+18=0 C. x2+y2+z2−4x−4y−4z+12=0 D. x2+y2+z2−8x−8y−8z+14=0 Answer Key Click here to show or hide the answer key [ B ] Solution Click here to expand or collapse this section Center (h, k, l) is at C(3, 3, 3) Radius, r = 3 (x−h)2+(y−k)2+(z−l)2=r2 (x−3)2+(y−3)2+(z−3)2=32 (x2−6x+9)+(y2−6y+9)+(z2−6z+9)=9 x2+y2+z2−6x−6y−6z+18=0 ← answer Category Analytic Geometry Rectangular Coordinates Space Coordinates Sphere Equation of Sphere Log in or register to post comments