Consider the sphere whose equation $is{x}^2+8x+y^2-6y+z^2-4z=7.$ Answer the following $in$ the

space below part $(ii).$

$(i)$ Determine the center and radius $of$ the sphere.

$(ii)$ Draw a sketch $of$ the sphere $in$ a standard $x,y,z-$coordinate system.

$(iii)$ Describe the curve which $is$ the intersection $of$ the sphere and the plane $y=1.(Beas$

descriptive $as$ you can $be).$