Space Coordinates

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.   $x^2 + y^2 + z^2 - 9 = 0$
B.   $x^2 + y^2 + z^2 - 6x - 6y - 6z + 18 = 0$
C.   $x^2 + y^2 + z^2 - 4x - 4y - 4z + 12 = 0$
D.   $x^2 + y^2 + z^2 - 8x - 8y - 8z + 14 = 0$

 

Problem
Find the distance from the point A(1, 5, -3) to the plane 4x + y + 8z + 33 = 0.

A.   1/2 C.   2/3
B.   2 D.   1.5

 

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