Suppose a sphere of radius r is sliced by two horizontal planes h units apart as shown. Show that the surface area of the resulting zone on the sphere is 2xrh, independent of the location of the cutting planes. To show that the surface area of the resulting zone of the sphere is 2xrh, independent of the location of the cutting planes, find the surface area of the zone. Orient the sphere so that the planes are vertical, as shown in the figure. This allows the computations to be done in terms of x. Let r represent the radius of the sphere in the problem statement. Write the equation of the curve that when revolved about the x-axis on the interval [-r,r] will result in the sphere given in the problem statement. f(x)= h