And so we could substitute that right over there. So another way to express the volume of this little slice right over here of infinitesimal depth, DY depth, is going to be Y times nine minus Y squared over 16 DY. Y squared over 16 DY. And if we want to find the volume of the whole figure, that's gonna look something like that, we're just going to integrate from Y equals zero to Y is equal to 12. So integrate from Y is equal to zero to Y is equal to 12. And that's all they asked us to do to express the volume as a definite integral. But this is actually a definite integral that you could solve without a calculator.