Chapter 6.2, Problem 1PT

Find a definite integral for the volume of a solid with a circular base of radius 4 inches such that the cross section of any slice perpendicular to a certain diameter in the base is a square.

1. a) ${\displaystyle {\int }_{-4}^4(64-4x^2)dx}$
2. b) ${\displaystyle {\int }_{-4}^{4}4x^{2}dx}$
3. c) ${\displaystyle {\int }_{-4}^{4}4x^{4}dx}$
4. d) ${\displaystyle {\int }_{-4}^4{(4-x^2)}^{2}dx}$