A circle with equation (x-3)^2+(Y-3)^2=16 is rotated around the line y=x. What is the volume of the solid that is created?

A.256.29
B.268.08
C.301.97
D.321.75
E.316.33

Question

A circle with equation (x-3)^2+(Y-3)^2=16 is rotated around the line y=x. What is the volume of the solid that is created?

A.256.29
B.268.08
C.301.97
D.321.75
E.316.33

mathmale · Answer

Dear Student107:  I'll promote you to Student108 if you'd please sketch this circle and the line y=x.  With y=x as the axis of rotation, how would you develop a formula for the radius of the circle as measured from y=x?  
If you wouldn't mind using a quick and dirty approach, note that the radius of the circle is 4.  Therefore, according to the formula for the volume of a sphere, the volume of this particular sphere is $$\frac{ 4 }{ 3 }\pi*r ^{3} => ?$$