Question

And the cross-section perpendicular to the yaxis is a square. Set up a definite integral expressing the volume of the solid

Answer 1

The volume of the cross-section perpendicular to the solid is the amount of space in the cross-section

How to set up the integral?

The question is incomplete;

So, I will give a general explanation on how to set up a definite integral for volume of a solid

Assume the solid is a cone;

Using the disk method, the integral of the volume is:

$V = \int\limits^a_b {\pi r(x)^2} \, dx$

Using the washer method, the integral of the volume is:

$V = \int\limits^a_b {\pi [R(x)^2 -r(x)^2 ]} \, dx$

Read more about volume integrals at:

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