### Home > CALC > Chapter 8 > Lesson 8.3.2 > Problem 8-110

8-110.

Uh-oh! Arlen needs your help. He is trying to write an integral for the volume of square cross-sections perpendicular to the *y*-axis where the base is the region bounded by the *y*-axis and *y* = *x*^{2} on the interval 0 ≤ *x *≤ 3. Help him set up this integral. Homework Help ✎

These cross sections are squares. Their area formula is well known.

The function and the bounds must be in terms of *y*, because the cross sections are perpendicular to the *y*-axis. So, rewrite the function in terms of *y* and find the *y*-values that correspond with the given domain.