Question

the shaded region, R, is bounded by he graph of y=x^2 and line y=4.
a. find the volume of the solid generated by revolving R about the x- axis.
b. there exist a number k, k>4, such that when R is revolved about the line y=k, the resulting solid has the same volume as the solid in part A, write, but do not solve, an equation involving an integral expression that can be used to find the value of K.